## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Chapter Test

Question 1.
If a man received ₹1080 as dividend from 9% ₹20 shares, find the number of shares purchased by him.
Solution:

Question 2.
Find the percentage interest on capital invested in 18% shares when a Rs 10 share costs Rs 12.
Solution:

Question 3.
Rohit Kulkarni invests Rs 10000 in 10% Rs 100 shares of a company. If his annual dividend is Rs 800, find :
(i) The market value of each share.
(ii) The rate per cent which he earns on his investment.
Solution:

Question 4.
At what price should a 9% Rs 100 share be quoted when the money is worth 6%?
Solution:

Question 5.
By selling at Rs 92, some 2.5% Rs 100 shares and investing the proceeds in 5% Rs 100 shares at Rs 115, a person increased his annual income by Rs 90. Find:
(i) the number of shares sold.
(ii) the number of shares purchased.
(iii) the new income.
(iv) the rate per cent which he earns on his investment.
Solution:

Question 6.
A man has some shares of Rs. 100 par value paying a 6% dividend. He sells half of these at a discount of 10% and invests the proceeds in 7% Rs. 50 shares at a premium of Rs. 10. This transaction decreases his income from dividends by Rs. 120. Calculate:
(i) the number of shares before the transaction.
(ii) the number of shares he sold.
(iii) his initial annual income from shares.
Solution:

Question 7.
Divide Rs. 101520 into two parts such that if one part is invested in 8% Rs. 100 shares at 8% discount and the other in 9% Rs. 50 shares at 8% premium, the annual incomes are equal.
Solution:

Question 8.
A man buys Rs. 40 shares of a company which pays a 10% dividend. He buys the shares at such a price that his profit is 16% on his investment. At what price did he buy each share?
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends MCQS

Question 1.
If Jagbeer invest ₹10320 on ₹100 shares at a discount of ₹ 14, then the number of shares he buys is
(a) 110
(b) 120
(c) 130
(d) 150
Solution:

Question 2.
If Nisha invests ₹19200 on ₹50 shares at a premium of 20%, then the number of shares she buys is
(a) 640
(b) 384
(c) 320
(d) 160
Solution:

Question 3.
₹ 40 shares of a company are selling at a 25% premium. If Mr Jacob wants to buy 280 shares of the company, then the investment required by him is
(a) ₹ 11200
(b) ₹ 14000
(c) ₹ 16800
(d) ₹ 8400
Solution:

Question 4.
Arun possesses 600 shares of ₹25 of a company. If the company announces a dividend of 8%, then Arun’s annual income is
(a) ₹ 48
(b) ₹ 480
(c) ₹ 600
(d) ₹ 1200
Solution:

Question 5.
A man invests ₹24000 on ₹60 shares at a discount of 20%. if the dividend declared by the company is 10%, then his annual income is
(a) ₹ 3000
(b) ₹ 2880
(c) ₹ 1500
(d) ₹ 1440
Solution:

Question 6.
Salman has some shares of ₹ 50 of a company paying a 15% dividend. If his annual income is ₹ 3000, then the number of shares he possesses is
(a) 80
(b) 400
(c) 600
(d) 800
Solution:

Question 7.
₹ 25 shares of a company are selling at ₹ 20. If the company is paying a dividend of 12%, then the rate of return is
(a) 10%
(b) 12%
(c) 15%
(d) 18%
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Ex 3

Question 1.
Find the dividend received on 60 shares of Rs, 20 each if 9% dividend is declared.
Solution:

Question 2.
A company declares 8 per cent dividend to the shareholders. If a man receives Rs. 2840 as his dividend, find the nominal value of his shares.
Solution:

Question 3.
A man buys 200 ten-rupee shares at Rs 12.50 each and receives a dividend of 8%. Find the amount invested by him and the dividend received by him in cash.
Solution:

Question 4.
Find the market price of 5% share when a person gets a dividend of Rs 65 by investing Rs. 1430.
Solution:

Question 5.
Salman buys 50 shares of face value Rs 100 available at Rs 132.
(i) What is his investment?
(ii) If the dividend is 7.5% p.a., what will be his annual income?
(iii) If he wants to increase his annual income by Rs 150, how many extra shares should he
Solution:

Question 6.
A lady holds 1800, Rs. 100 shares of a company that pays 15% dividend annually. Calculate her annual dividend. If she had bought these shares at 40% premium, what percentage return does she get on her investment? Give your answer to the nearest integer.
Solution:

Question 7.
What sum should a person invest in Rs 25 shares, selling at Rs 36, to obtain an income of Rs 720, if the dividend declared is 12%? Also, find the percentage return on his income.
(i) The number of shares bought by him.
(ii) The percentage return on his income.
Solution:

Question 8.
Ashok invests Rs 26400 on 12% Rs 25 shares of a company. If he receives a dividend of Rs 2475, find:
(i) the number of shares he bought.
(ii) the market value of each share. (2016)
Solution:

Question 9.
Amit Kumar invests Rs 36,000 in buying Rs 100 shares at Rs 20 premium. The dividend is 15% per annum. Find :
(i) The number of shares he buys
(ii) His yearly dividend
(iii) The percentage return on his investment.
Solution:

Question 10.
Mr Tiwari invested Rs 29,040 in 15% Rs 100 shares at a premium of 20%. Calculate:
(i) The number of shares bought by Mr Tiwari.
(ii) Mr Tiwari’s income from the investment.
(iii) The percentage return on his investment.
Solution:

Question 11.
A man buys shares at the par value of Rs 10 yielding 8% dividend at the end of a year. Find the number of shares bought if he receives a dividend of Rs 300.
Solution:

Question 12.
A man invests Rs 8800 on buying shares of the face value of rupees hundred each at a premium of 10%. If he earns Rs 1200 at the end of the year as a dividend, find:
(i) the number of shares he has in the company.
(ii) the dividend percentage per share.
Solution:

Question 13.
A man invested Rs. 45000 in 15% Rs. 100 shares quoted at Rs. 125. When the market value of these shares rose to Rs. 140, he sold some shares, just enough to raise Rs. 8400. Calculate :
(i) the number of shares he still holds. (2004)
(ii) the dividend due to him on these shares.
Solution:

Question 14.
A company pays a dividend of 15% on its ten-rupee shares from which it deducts tax at the rate of 22%. Find the annual income of a man, who owns one thousand shares of this company.
Solution:

Question 15.
Ajay owns 560 shares of a company. The face value of each share is Rs. 25. The company declares a dividend of 9%. Calculate.
(i) the dividend that Ajay will get.
(ii) the rate of interest, on his investment, if Ajay has paid Rs. 30 for each share. (2007)
Solution:

Question 16.
A company with 10000 shares of the nominal value of Rs. 100 declares an annual dividend of 8% to the shareholders.
(i) Calculate the total amount of dividend paid by the company.
(ii) Ramesh bought 90 shares of the company at Rs. 150 per share.
Calculate the dividend he received and the percentage return on his investment. (1994)
Solution:

Question 17.
A company with 4000 shares of the nominal value of Rs. 110 declares an annual dividend of 15%. Calculate :
(i) the total amount of dividend paid by the company,
(ii) the annual income of Shah Rukh who holds 88 shares in the company,
(iii) if he received only 10% on his investment, find the price Shah Rukh paid for each share. (2008)
Solution:

Question 18.
By investing in Rs. 7500 in a company paying 10 per cent dividend, an income of Rs. 500 is received. What price is paid for each Rs 100 share
Solution:

Question 19.
A man invests Rs. 8000 in a company paying 8% dividend when a share of the face value of Rs. 100 is selling at Rs. 60 premium,
(i) What is his annual income,
(ii) What per cent does he get on his money?
Solution:

Question 20.
A man buys 400 ten-rupee shares at a premium of Rs. 2.50 on each share. If the rate of dividend is 8%, Find,
(i) his investment
(iii) yield.
Solution:

Question 21.
A man invests Rs. 10400 in 6% shares at Rs. 104 and Rs. 11440 in 10.4% shares at Rs. 143. How much income would he get in all?
Solution:

Question 22.
Two companies have shares of 7% at Rs. 116 and 9% at Rs. 145 respectively. In which of the shares would the investment be more profitable?
Solution:

Question 23.
Which is a better investment: 6% Rs. 100 shares at Rs. 120 or 8% Rs. 10 shares at Rs. 15
Solution:

Question 24.
A man invests Rs -10080 in 6% hundred- rupee shares at Rs. 112. Find his annual income. When the shares fall to Rs. 96 he sells out the shares and invests the proceeds in 10% ten-rupee shares at Rs. 8. Find the change in his annual income.
Solution:

Question 25.
A man bought 360 ten-rupee shares paying 12% per annum. He sold them when the price rose to Rs. 21 and invested the proceeds in five-rupee shares paying $$4 \frac { 1 }{ 2 }$$ % per annum at Rs. 3.5 per share. Find the annual change in his income.
Solution:

Question 26.
A person invests Rs. 4368 and buys certain hundred-rupee shares at 91. He sells out shares worth Rs. 2400 when they have t risen to 95 and the remainder when they have fallen to 85. Find the gain or loss on the total transaction,
Solution:

Question 27.
By purchasing Rs. 50 gas shares for Rs. 80 each, a man gets a 4% profit on his investment. What rate per cent is company paying? What is his dividend if he buys 200 shares?
Solution:

Question 28.
Rs. 100 shares of a company are sold at a discount of Rs. 20. If the return on the investment is 15%. Find the rate of dividend declared
Solution:

Question 29.
A company declared a dividend of 14%. Find the tire market value of Rs. 50 shares if the return on the investment was 10%.
Solution:

Question 30.
At what price should a 6.25% Rs. 100 shares are quoted when the money is worth 5%?
Solution:

Question 31.
At what price should a 6.25% Rs. 50 share be quoted when the money is worth 10%?
Solution:

Question 32.
A company with 10000 shares of Rs. 100 each, declares an annual dividend of 5%.
(i) What is the total amount of dividend paid by the company?
(ii) What would be the annual income of a man, who has 72 shares, in the company?
(iii) If he received only 4% on his investment, find the price he paid for each share. (1998)
Solution:

Question 33.
A man sold some Rs. 100 shares paying 10% dividend at a discount of 25% and invested the proceeds in Rs. 100 shares paying a 16% dividend quoted at Rs. 80 and thus increased his income by Rs. 2000. Find the number of shares sold by him.
Solution:

Question 34.
By selling at Rs. 77, some $$2 \frac { 1 }{ 4 }$$ % shares of face value Rs. 100, and investing the proceeds in 6% shares of face value Rs. 100, selling at 110, a person increased his income by Rs, 117 per annum. How many shares did he sell?
Solution:

Question 35.
A man invests Rs. 6750, partly in shares of 6% at Rs. 140 and partly in shares of 5% at Rs. 125. If his total income is Rs. 280, how much has he invested in each?
Solution:

Question 36.
Divide Rs. 20304 into two parts such that if one part is invested in 9% Rs. 50 shares at 8% premium and the other part are invested in 8% Rs. 25 shares at 8% discount, then the annual incomes from both the investment are equal
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 2 Banking Chapter Test

Question 1.
Mr Dhruv deposits Rs 600 per month in a recurring deposit account for 5 years at the rate of 10% per annum (simple interest). Find the amount he will receive at the time of maturity.
Solution:

Question 2.
Ankita started paying Rs 400 per month in a 3 years recurring deposit. After six months her brother Anshul started paying Rs 500 per month in a $$2 \frac { 1 }{ 2 }$$ years recurring deposit. The bank paid 10% p.a. simple interest for both. At maturity who will get more money and by how much?
Solution:

Question 3.
Shilpa has a 4-year recurring deposit account in Bank of Maharashtra and deposits Rs 800 per month. If she gets Rs 48200 at the time of maturity, find
(i) the rate of simple interest,
(ii) the total interest earned by Shilpa
Solution:

Question 4.
Mr. Chaturvedi has a recurring deposit account in Grindlay’s Bank for $$4 \frac { 1 }{ 2 }$$ years at 11% p.a. (simple interest). If he gets Rs 101418.75 at the time of maturity, find the monthly instalment.
Solution:

Question 5.
Rajiv Bhardwaj has a recurring deposit account in a bank of Rs 600 per month. If the bank pays simple interest of 7% p.a. and he gets Rs 15450 as maturity amount, find the total time for which the account was held.
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 2 Banking MCQS

Choose the correct answer from the given four options (1 to 4):

Question 1.
If Shahrukh opened a recurring deposit account in a bank and deposited Rs 800 per month for $$1 \frac { 1 }{ 2 }$$ years, then the total money
deposited in the account is
(a) Rs 11400
(b) Rs 14400
(c) Rs 13680
(d) none of these
Solution:

Question 2.
Mrs Asha Mehta deposits Rs 250 per month for one year in a bank’s recurring deposit account. If the rate of (simple) interest is 8% per annum, then the interest earned by her on this account is
(a) Rs 65
(b) Rs 120
(c) Rs 130
(d) Rs 260
Solution:

Question 3.
Mr Sharma deposited Rs 500 every month in a cumulative deposit account for 2 years. If the bank pays interest at the rate of 7% per annum, then the amount he gets on maturity is
(a) Rs 875
(b) Rs 6875
(c) Rs 10875
(d) Rs 12875
Solution:

Question 4.
John deposited Rs 400 every month in a bank’s recurring deposit account for $$2 \frac { 1 }{ 2 }$$ years. If he gets Rs 1085 as interest at the time of maturity, then the rate of interest per annum is
(a) 6%
(b) 7%
(c) 8%
(d) 9%
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 2 Banking Ex 2

Question 1.
Shweta deposits Rs. 350 per month in a recurring deposit account for one year at the rate of 8% p.a. Find the amount she will receive at the time of maturity.
Solution:

Question 2.
Salom deposited Rs 150 per month in a bank for 8 months under the Recurring Deposit Scheme. ‘What will be the maturity value of his deposit if the rate of interest is 8% per annum?
Solution:

Question 3.
Mrs Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value. (2009)
Solution:

Question 4.
Kiran deposited Rs. 200 per month for 36 months in a bank’s recurring deposit account. If the banks pay interest at the rate of 11% per annum, find the amount she gets on maturity?
Solution:

Question 5.
Haneef has a cumulative bank account and deposits Rs. 600 per month for a period of 4 years. If he gets Rs. 5880 as interest at the time of maturity, find the rate of interest.
Solution:

Question 6.
David opened a Recurring Deposit Account in a bank and deposited Rs. 300 per month for two years. If he received Rs. 7725 at the time of maturity, find the rate of interest per annum. (2008)
Solution:

Question 7.
Mr Gupta-opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity, he got Rs. 67500. Find :
(i) the total interest earned by Mr Gupta.
(ii) the rate of interest per annum.
Solution:

Question 8.
Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs 800 per month for $$1 \frac { 1 }{ 2 }$$ years. If he received Rs 15084 at the time of maturity, find the rate of interest per annum.
Solution:

Question 9.
Mohan has a recurring deposit account in a bank for 2 years at 6% p.a. simple interest. If he gets Rs 1200 as interest at the time of maturity, find:
(i) the monthly instalment
(ii) the amount of maturity. (2016)
Solution:

Question 10.
Mr R.K. Nair gets Rs 6,455 at the end of one year at the rate of 14% per annum in a recurring deposit account. Find the monthly instalment.
Solution:

Question 11.
Samita has a recurring deposit account in a bank of Rs 2000 per month at the rate of 10% p.a. If she gets Rs 83100 at the time of maturity. Find the total time for which the account was held.
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 1 Value Added Tax Chapter Test

Question 1.
A shopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price of the washing machine being ₹ 18000. The shopkeeper sells it to a consumer at a discount of 10% on the printed price. If the rate of sales tax is 8%, find:
(i) the VAT paid by the shopkeeper.
(ii) the total amount that the consumer pays for the washing machine.
Solution:

Question 2.
A manufacturing company sold an article to its distributor for ₹22000 including VAT. The distributor sold the article to a dealer for ₹22000 excluding tax and the dealer sold it to a consumer for ₹25000 plus tax (under VAT). If the rate of sales tax (under VAT) at each stage is 10%, find :
(i) the sale price of the article for the manufacturing company.
(ii) the amount of VAT paid by the dealer.
Solution:

Question 3.
The marked price of an article is ₹7500. A shopkeeper sells the article to a consumer at the marked prices and charges sales tax at . the rate of 7%. If the shopkeeper pays a VAT of ₹105, find the price inclusive of sales tax of the article which the shopkeeper paid to the wholesaler.
Solution:

Question 4.
A shopkeeper buys an article at a discount of 30% and pays sales tax at the rate of 6%. The shopkeeper sells the article to a consumer at 10% discount on the list price and charges sales tax at the’ same rate. If the list price of the article is ₹3000, find the price inclusive of sales tax paid by the shopkeeper.
Solution:

Question 5.
Mukherjee purchased a movie camera for ₹27468. which includes 10% rebate on the list price and then 9% sales tax (under VAT) on the remaining price. Find the list price of the movie camera.
Solution:

Question 6.
A retailer buys an article at a discount of 15% on the printed price from a wholesaler. He marks up the price by 10%. Due to competition in the market, he allows a discount of 5% to a buyer. If the buyer pays ₹451.44 for the article inclusive of sales tax (under VAT) at 8%, find :
(i) the printed price of the article
(ii) the profit percentage of the retailer.
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 1 Value Added Tax MCQS

A retailer purchases a fan for ₹ 1200 from a wholesaler and sells it to a consumer at 15% profit. If the rate of sales tax (under VAT) at every stage is 8%, then choose the correct answer from the given four options for questions 1 to 5:

Question 1.
The selling price of the fan by the retailer (excluding tax) is
(a) ₹ 1200
(b) ₹ 1380
(c) ₹ 1490.40
(d) ₹ 11296
Solution:

Question 2.
VAT paid by the wholesaler is
(a) ₹ 96
(b) ₹ 14.40
(c) ₹ 110.40
(d) ₹ 180
Solution:

Question 3.
VAT paid by the retailer
(a) ₹ 180
(b) ₹ 110.40
(c) ₹ 96
(d) ₹ 14.40
Solution:

Question 4.
VAT collected by the Government on the sale of fan is
(a) ₹14.40
(b) ₹96
(c) ₹110.40
(d) ₹180
Solution:

Question 5.
The cost of the fan to the consumer inclusive of tax is
(a) ₹1296
(b) ₹1380
(c) ₹1310.40
(d) ₹1490.40
Solution:

A shopkeeper bought a TVfrom a distributor at a discount of 25% of the listed price of ₹ 32000. The shopkeeper sells the TV to a consumer at the listed price. If the sales tax (under VAT) is 6% at every stage, then choose the correct answer from the given four options for questions 6 to 8:

Question 6.
VAT paid by the distributor is
(a) ₹1920
(b) ₹1400
(c) ₹480
(d) ₹8000
Solution:

Question 7.
VAT paid by the shopkeeper is
(a) ₹480
(b) ₹1440
(c) ₹1920
(d) ₹8000
Solution:

Question 8.
The cost of the TV to the consumer inclusive of tax is
(a) ₹8000
(b) ₹32000
(c) ₹33920
(d) none of these
Solution:

A wholesaler buys a computer from a manufacturer for ₹ 40000. He marks the price of the computer 20% above his cost price and sells it to a retailer at a discount of 10% on the marked price. The retailer sells the computer to a consumer at the marked price. If the rate of sales tax (under VAT) is 10% at every stage, then choose the correct answer from the given four options for questions 9 to 15:

Question 9.
The marked price of the computer is
(a) ₹40000
(b) ₹48000
(c) ₹50000
(d) none of these
Solution:

Question 10.
Cost of the computer to the retailer (excluding tax) is
(a) ₹36000
(b) ₹40000
(c) ₹43200
(d) ₹47520
Solution:

Question 11.
Cost of the computer to the retailer inclusive of tax is
(a) ₹47520
(b) 43200
(c) 44000
(d) none of these
Solution:

Question 12.
VAT paid by the manufacturer is
(a) ₹4000
(b) ₹4320
(c) ₹320
(d) none of these
Solution:

Question 13.
VAT paid by the wholesaler is
(a) ₹4000
(b) ₹4320
(c) ₹320
(d) ₹480
Solution:

Question 14.
VAT paid by the retailer is
(a) ₹4000
(b) ₹4320
(c) ₹320
(d) ₹480
Solution:

Question 15.
Consumer’s cost price inclusive of VAT is
(a) ₹47520
(b) ₹48000
(c) ₹52800
(d) ₹44000
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 1 Value Added Tax Ex 1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 1 Value Added Tax Ex 1

Question 1.
A manufacturing company sells a T.V. to a trader A for ₹ 18000. Trader A sells it to a trader B at a point of ₹ 750 and trader B sells it to a consumer at a profit of ₹ 900. If the rate of sales tax (under VAT) is 10%, find
(i) the amount of tax received by the Government.
(ii) the amount paid by the consumer for the T.V.
Solution:

Question 2.
A manufacturer sells a washing machine to a wholesaler for ₹ 15000. The wholesaler sells it to a trader at a profit of ₹ 1200 and the trader sells it to a consumer at a profit of ₹ 1800. If the rate of VAT is 8%, find :
(i) The amount of VAT received by the State Government on the sale of this machine from the manufacturer and the wholesaler.
(ii) The amount that the consumer pays for the machine.
Solution:

Question 3.
A manufacturer buys raw material for ₹ 40000 and pays sales tax at the rate of 4%. He sells the ready stock for ₹ 78000 and charges sales tax at the rate of 7.5%. Find the VAT paid by the manufacturer.
Solution:

Question 4.
A shopkeeper buys a camera at a discount of 20% from the wholesaler, the printed price of the camera being ₹ 1600 and the rate of sales tax is 6%. The shopkeeper sells it to the buyer at the printed price and charges sales tax at the same rate. Find
(i) the price at which the camera can be bought.
(ii) the VAT (Value Added Tax) paid by the shopkeeper.
Solution:

Question 5.
The printed price of an article is ₹ 60000. The wholesaler allows a discount of 20% to the shopkeeper. The shopkeeper sells the article to the customer at the printed price. Sales tax (under VAT) is charged at the rate of 6% at every stage. Find:
(i) the cost to the shopkeeper inclusive of tax.
(ii) VAT paid by the shopkeeper to the Government.
(iii) the cost to the customer inclusive of tax.
Solution:

Question 6.
A shopkeeper bought a TV at a discount of 30% of the listed price of ₹ 24000. The shopkeeper offers a discount of 10% of the listed price to his customer. If the VAT (Value Added Tax) is 10%, find the amount paid by the customer, the VAT to be paid by the shopkeeper.
Solution:

Question 7.
A shopkeeper sells an article at the listed price of ₹ 1500 and the rate of VAT is 12% at each stage of sale. If the shopkeeper pays a VAT of ₹ 36 to the Government, what was the amount inclusive of tax at which the shopkeeper purchased the articles from the wholesaler?
Solution:

Question 8.
A shopkeeper buys an article whose list price is ₹ 800 at some rate of discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the prescribed rate of 7.5%. If the shopkeeper has to pay a VAT of ₹ 6, find the rate of discount at which he bought the article from the wholesaler.
Solution:

Question 9.
A manufacturing company ‘P’ sells a Desert cooler to a dealer A for ₹ 8100 including sales tax (under VAT). The dealer A sells it to a dealer B for ₹ 8500 plus sales tax and the dealer B sells it to a consumer at a profit of ₹ 600. If the rate of sales tax (under VAT) is 8%, find
(i) the cost price of the cooler for dealer A.
(ii) the amount of tax received by the Government.
(iii) the amount which the consumer pays for the cooler.
Solution:

Question 10.
A manufacturer marks an article for ₹ 5000. He sells it to a wholesaler at a discount of 25% on the marked price and the wholesaler sells it to a retailer at a discount of 15% on the marked price. The retailer sells it to a consumer at the marked price and at each stage, the VAT is 8%.
Calculate the amount of VAT received by the Government from :
(i) the wholesaler.
(ii) the retailer.
Solution:

Question 11.
A manufacturer listed the price of his goods at ₹ 160 per article. He allowed a discount of 25% to a wholesaler who in his turn allowed a discount of 20% on the listed price to a retailer. The rate of sales tax on the goods is 10%. If the retailer sells one article to a consumer at a discount of 5% on the listed price, then find
(i) the VAT paid by the wholesaler.
(ii) the VAT paid by the retailer.
(iii) the VAT received by the Government.
Solution:

Question 12.
Kiran purchases an article for ₹ 5, 400 which includes 10% rebate on the marked price and 20% sales tax (under VAT) on the remaining price. Find the marked price of the article.
Solution:

Question 13.
A shopkeeper buys an article for ₹ 12000 and marks up its price by 25%. The shopkeeper gives a discount of 10% on the marked up price. He gives a further off-season discount of 5% on the balance. But the sales tax (under VAT) is charged at 8% on the remaining price. Find :
(i) the amount of VAT which a customer has to pay.
(ii) the final price he has to pay for the article.
Solution:

Question 14.
In a particular tax period, Mr Sunder Dass, a shopkeeper purchased goods worth ₹ 960000 and paid a total tax of ₹ 62750 (under VAT). During this period, his sales consisted of taxable turnover of ₹ 400000 of goods taxable at 6% and ₹ 480000 for goods taxable at 12.5%. He also sold tax-exempted goods worth ₹ 95640 in the same period. Calculate his tax liability (under VAT) for this period.
Solution:

Question 15.
In the tax period ended March 2015, M/S Hari Singh & Sons purchased floor tiles worth ₹ 800000 taxable at 7.5% and sanitary fittings worth ₹ 750000 taxable at 10%. During this period, the sales turnover for floor tiles and sanitary fittings are worth ₹ 840000 and ₹ 920000 respectively. However, the floor tiles worth ₹ 60000 were returned by the firm during the same period. Calculate the tax liability (under VAT) of the firm for this tax period.
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths

## Physics MCQs for Class 12 with Answers Chapter 11 Dual Nature of Radiation and Matter

Free PDF Download of CBSE Physics Multiple Choice Questions for Class 12 with Answers Chapter 11 Dual Nature of Radiation and Matter. Physics MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Physics Dual Nature of Radiation and Matter MCQs Pdf with Answers to know their preparation level.

## Dual Nature of Radiation and Matter Class 12 Physics MCQs Pdf

Dual Nature of Radiation and Matter MCQ Questions with Answers Pdf Question 1. Light of frequency 1.9 times the threshold frequency is incident on a photosensitive material. If the frequency is halved and intensity is doubled, the photocurrent becomes
(b) doubled
(c) halved
(d) zero

Explaination: (d) As vi = 0.95 v0. No photoelectric emission takes place.

Dual Nature of Matter And Radiation Class 12 MCQ Question 2. Threshold wavelength for a metal having work function W0 is X. What is the threshold wavelength for the metal having work function 2W0?
(a) 4λ
(b) 2λ
(c) λ/2
(d) λ/4

Explaination:

MCQ on Dual Nature of Matter And Radiation Question 3. Radiations of frequency v are incident on a photosensitive metal. The maximum K.E. of the photoelectrons is E. When the frequency of the incident radiation is doubled, what is the maximum kinetic energy of the photoelectrons?
(a) 2E
(b) 4E
(c) E + hv
(d) E – hv

Explaination: (c) Using Einstein’s photoelectric equation hv – w0 = E

4. Maximum kinetic energy (Ek) of a photoelectron varies with frequency (v) of the incident radiation as

Explaination: (d) Using Einstein’s photoelectric equation hv = hv0 + Ek

Physics MCQs for Class 11 With Answers Pdf Question 5. The stopping potential V0 for photoelectric emission from a metal surface is plotted along y-axis and frequency v of incident light along x-axis. A straight line is obtained as shown. Planck’s constant is given by

(a) slope of the line
(b) product of the slope of the line and charge on electron
(c) intercept along y-axis divided by charge on the electron
(d) product of the intercept along x-axis and mass of the electron

Explaination: (b) Using Einstein’s photoelectric equation

6. The energy of photon of wavelength 450 nm is
(a) 2.5 × 10-17 J
(b) 1.25 × 10-17 J
(c) 4.4 × 10-19 J
(d) 2.5 × 10-19 J

Explaination:

7. The kinetic energy of an electron is 5 eV. Calculate the de broglie wavelength associated with it. (h = 6.6 × 10-34 Js, me = 9.1 × 10-31 kg)
(a) 5.47 Å
(b) 10.9 Å
(c) 2.7 Å
(d) None of these

Explaination:

Photoelectric Effect Multiple Choice Questions and Answers Pdf8. The slope of the stopping potential versus ‘ frequency graph for photoelectric effect is equal to

(a) h
(b) he
(c) h/e
(d) e

Explaination:
(c) Using Einstein’s equation for photoelectric effect

Class 12 Physics MCQ Chapter Wise Question 9. A proton and an α-particle are accelerated by the same potential difference. The ratio of their de broglie wavelengths (λp, λα) is
(a) 1
(b) 2
(c) √8
(d) $$\frac{1}{\sqrt{8}}$$

Explaination:

Class 12 Physics MCQ Chapter Wise Question 10. Work function of three metals A, B and C are 4.5 eV, 4.3 eV and 3.5 eV respectively. If a light of wavelength 4000 Å is incident on the metals then
(a) photoelectrons are emitted from A.
(b) photoelectrons are emitted from B.
(c) photoelectrons are emitted from C.
(d) photoelectrons are emitted from all the metals.

Explaination:
(d) Since energy of incident photon

11. Which of the following figure represents the variation of particle momentum and associated de Broglie wavelength?

Explaination:

12. According to Einstein’s photoelectric equation the plot of the kinetic energy of the emitted photo-electrons from a metal vs the frequency of the incident radiation gives a straight line whose slope
(a) depends on the nature of the metal used.
(b) depends on the intensity of the radiation.
(c) depends both on the intensity of the radiation and the metal used.
(d) is the same for all metals and independent of the intensity of the radiation.

Explaination: (d) Since slope = $$\frac{h}{e}$$

13. If K.E. of free electron is doubled, its de Broglie wavelength will change by factor
(a) $$\frac{1}{\sqrt{8}}$$
(b) √2
(c) $$\frac{1}{2}$$
(d) 2

Explaination:

14. For a given kinetic energy which of the following has smallest de Broglie wavelength?
(a) Electron
(b) Proton
(c) Deutron
(d) a-particle

Explaination:
(d) Since de Broglie wavelength

particle, mass of ∝-particle is maximum.

15. A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional to [NCERT Exemplar]

Explaination:

16. A proton, a neutron, an electron and an a-particle have same energy. Then their de Broglie wavelengths compare as [NCERT Exemplar]
(a)λp = λn > λe > λα
(b) λα < λp = λn < λe
(‘C) λe < λp = λn > λα
(d) λe = λp = λn = λα

Explaination:

17. In photoelectric effect what determines the maximum velocity of electron reacting the collector?
(a) Frequency of incident radiation alone
(b) Work function of metal
(c) Potential difference between the emitter and the collector
(d) All of these

Explaination: (d) As per Einstein’s photoelectric equation

18. A Proton and an a-particle have the same de Broglie wavelength. What is same for both of them?
(a) Mass
(b) Energy
(c) Frequency
(d) Momentum

Explaination: (d) Since λ = $$\frac{h}{p}$$, for the same wavelength momentum is also same.

19. The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1 MeV energy is nearly [NCERT Exemplar]
(a) 1.2 nm
(b) 1.2 × 10-3 nm
(c) 1.2 × 10-6 nm
(d) 1.2 × 101 nm

Explaination:

20. An electron is moving with an initial velocity v = v0i and is in a magnetic field B = B0 j. Then, its de Broglie wavelength [NCERT Exemplar]
(a) remains constant.
(b) increases with time.
(c) decreases with time.
(d) increases and decreases periodically.

Explaination:
(a) F = q(v × B) = F = qvB sin θ. As this force is perpendicular to v and B, so the magnitude of v will not change, i.e. momentum (p = mv) will remain constant in magnitude
De Broglie wavelength λ = $$\frac{h}{m v}$$ remams constant
∴ Comparing wavelengths of proton and neutron, mp = mn, hence λp = λn.

21. Who established that electric charge is quantised?
(a) J.J. Thomson
(b) William Crookes
(c) R.A. Millikan
(d) Wilhelm Rontgen

22. Cathode rays were discovered by
(a) Maxwell Clerk James
(b) Heinrich Hertz
(c) William Crookes
(d) J.J. Thomson

23. The minimum energy required for the electron emission from the metal surface can be supplied to the free electrons by which of the following physical processes?
(a) Thermionic emission
(b) Field emission
(c) Photoelectric emission
(d) All of these

24. The phenomenon of photoelectric emission was discovered in 1887 by
(a) Albert Einstein
(b) Heinrich Hertz
(c) Wilhelm Hallwachs
(d) Philipp Lenard

25. A metal surface ejects electrons when hit by green light but nothing when hit by yellow light. The electrons will be ejected when the surface is hit by
(a) blue light
(b) heat rays
(c) infrared light
(d) red light

26. Which of the following statements is correct regarding the photoelectric experiment?
(a) The photocurrent increases with intensity of light.
(b) Stopping potential increases with increase in intensity of incident light.
(c) The photocurrent increases with increase in frequency.
(d) All of these

27. In photoelectric effect, the photocurrent
(a) depends both on intensity and frequency of the incident light.
(b) does not depend on the frequency of incident light but depends on the intensity of the inci-dent light.
(c) decreases with increase in frequency of inci-dent light.
(d) increases with increase in frequency of inci-dent light.

28. The maximum value of photoelectric current is called
(a) base current
(b) saturation current
(c) collector current
(d) emitter current

29. In photoelectric effect, the photoelectric current is independent of
(a) intensity of incident light
(b) potential difference applied between the two electrodes
(c) the nature of emitter material
(d) frequency of incident light

30. In photoelectric effect, stopping potential depends on
(a) frequency of incident light
(b) nature of the emitter material
(c) intensity of incident light
(d) both (a) and (b)

31. According to Einstein’s photoelectric equation, the graph of kinetic energy of the photoelectron emitted from the metal versus the frequency of the incident radiation gives a straight line graph, whose slope
(a) depends on the intensity of the incident radi-ation.
(b) depends on the nature of the metal and also on the intensity of incident radiation.
(c) is same for all metals and independent of the intensity of the incident radiation.
(d) depends on the nature of the metal.

32. The figure shows stopping V0A potential V0 and frequency o for two different metallic surfaces A and B. The work function of A, as compared to that of B is

(a) less
(b) more
(c) equal
(d) nothing can be said

33. Which phenomenon best supports the theory that matter has a wave nature?
(a) Electron momentum
(b) Electron diffraction
(c) Photon momentum
(d) Photon diffraction

34. The figure shows the variation of photocurrent with anode potential for a photosensitive surface for three different radiations. Let Ia, Ib and Ic be the intensities and va, vb. and vcbe the frequencies for the curves a, b and c respectively. Then the correct relation is

(a) va = vb and Ia ≠ Ib
(b) va = vc and Ia = Ic
(c) va = vb and Ia = Ib
(d) vb = vc and Ib = Ic

35. The photoelectric effect can be explained by
(a) Corpuscular theory of light
(b) Wave nature of light
(c) Bohr’s theory
(d) Quantum theory of light

36. Work function of metal is
(a) the minimum energy required to free an electron from surface against coulomb forces.
(b) the minimum energy required to free an », nucleon.
(c) the minimum energy to ionise an atom.
(d) the minimum energy required to eject an electron orbit.

37. The rest mass of a photon of wavelength X is

38. Photoelectric effect is based on the law of conservation of
(a) energy
(b) mass
(c) linear momentum
(d) angular momentum

39. Einstein’s photoelectric equation is:

40. In photoelectric effect, the number of photoelectrons emitted is proportional to
(a) intensity of incident beam. –
(b) frequency of incident beam.
(c) velocity of incident beam.
(d) work function of photo cathode.

41. Which of the following shows particle nature of light?
(a) Photoelectric effect
(b) Refraction
(c) Interference
(d) Polarisation

42. Relativistic corrections become necessary when the expression for the kinetic energy 1/2 mv², becomes comparable with mc², where m is the mass of the particle. At what de Broglie wavelength, will relativistic corrections become important for an electron?
(a) λ = 10 nm
(b) λ = 10-1 nm
(c) λ = 10-4nm
(d) λ = 10-3 nm

43. Two particles A1 and A2 of masses m1, m2(m1 > m2) have the same de Broglie wavelength. Then,
(a) their momenta are the same.
(b) their energies are the same.
(c) energy of A1 is greater than the energy of A2
(d) energy of A1 is equal to the energy of A2

44. Photons absorbed in a matter are converted to heat. A source emitting h photon/sec of frequency v is used to convert 1 kg or ice at 0°C to water at 0°C. Then, the time T taken for the conversion
(a) increases with increasing n, with v fixed
(b) decreases with n fixed, v increasing.
(c) does not remain constant with n and v changing such that nv = constant
(d) increases when the product nv increases.

45. A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values λ1, λ2 with λ1 > λ2. Which following statements are true?
(a) The particle could not be moving in a circular orbit with origin as centre.
(b) The particle could not be moving in an elliptic orbit with origin as its focus.
(c) When the de Broglie wavelength is λ1 the particle is nearer the origin than when its value is λ2.
(d) When the de Broglie wavelength λ2, the particle is nearer the origin than when its value λ1.

46. Consider the following statements:
I. According to de Broglie hypothesis, particles have wave-like characteristics.
II. When an electron and a proton have the same de Broglie wavelength, they will have equal momentum.
Which of the above statements is/are correct?
(a) I only
(b) II only
(c) both I and II
(d) neither I nor II

47. Maximum photoelectric current at particular intensity of incident radiation, which becomes independent of anode potential is known as __________ .

Explaination: saturation current

48. Stopping potential is of intensity of incident radiation but proportional to __________ of the radiation.

Explaination: independent, frequency

49. Kinetic energy and stopping potential are zero, when frequency of incident radiation is equal to __________ .

Explaination: threshold frequency

50. According to Planck’s quantum theory of radiation, an electromagnetic wave travels in the form packets of energy called __________ .

Explaination: photon

51. __________ experiment has varified and confirmed the wave nature of electrons.

Explaination: Davisson and Germer

52. Photoelectric emission occurs only when the frequency of incident radiation is __________ than threshold frequency.

Explaination: greater

53. Photoelectric emission is an __________ process.

Explaination: instantaneous

54. De Broglie wavelength associated with an electron beam accelerated through a potential difference V is __________ proportional to √V.

Explaination: inversely

55. __________ is the minimum amount of energy required to cause photoelectric emission.

Explaination: Wok function

56. Wave associated with the material particle is known as __________ .

Explaination: matter wave

57. Name the phenomenon which shows the quantum nature of electromagnetic radiation. [AI2017]

Explaination: Photoelectric effect.

58. Define the term ‘threshold frequency’ in relation to photoelectric effect. [Delhi 2019, Foreign 2011]

Explaination:
Threshold frequency: For every metal surface, there is a minimum frequency of incident radiation, below which the photoelectric emission does not take place no matter what the intensity of incident radiation is and for how long the radiations are allowed to fall on the metal. This frequency is called threshold frequency.

59. Show the variation of photocurrent with collector plate potential for different frequencies but same intensity of incident radiation. [AI 2017, Foreign 2011]

Explaination:
For same intensity but different frequencies v1 > v2 > v3 of incident radiation.

60. In photoelectric effect, why should the photoelectric current increases as the intensity of monochromatic radiation incident on a photosensitive surface is increased? Explain. [Foreign 2014]

Explaination:
An increase in intensity means increase in number of photons and thus, increase in photoelectric current.

61. Show the variation of photocurrent with collector plate potential for different intensities but same frequency of incident radiation. [Delhi 2019, AI 2017, Foreign 2011]

Explaination:

62. What is the rest mass of a photon?

Explaination: The rest mass of a photon is zero.

63. The given graph shows the variation of photoelectric current (I) versus applied voltage (V) for two different photosensitive materials and for two different intensities of the incident radiation. Identify the pairs of curves that correspond to different materials but same intensity of incident radiation. [Delhi 2013]

Explaination: The materials with same intensity of incident light are 1 and 3; 2 and 4.

64. The graph shows the variation of stopping potential with frequency of incident radiation for two photosensitive metals A and B. Which one of the two has higher value of work function? Justify your answer. [Chennai 2019, Dehradun 2019]

Explaination:
As threshold frequency of metal A is greater, its work function, Φ = hv0, will also be greater than that of B.

65. For a given photosensitive material and with a source of constant frequency of incident radiation, how does the photocurrent vary with the intensify of incident light? [Delhi 2014, AI 2011C]

Explaination:
The photoelectric current increases linearly with the intensity of light as shown in the figure.

66. Ultraviolet radiations of different frequencies v1 and v2 are incident on two photosensitive materials having work functions W1 and W2 (W1 > W2) respectively. The kinetic energy of the emitted electrons is same in both the cases. Which one of the two radiations will be of higher frequency?

Explaination:
v1 > v2. As W1 > W2 and K.E. is same. From the relation,
hv = hv0 + $$\frac{1}{2}$$ mv²
and hv0 = W= work function

67. Two beams, one of red light and the other of blue light, of the same intensity are incident on a metallic surface to emit photoelectrons. Which one of the two beams emits electrons of greater kinetic energy? [HOTS]

Explaination:
The blue light emits the electrons of greater K.E., as vb > vr.

68. Can non-metals show photoelectric effect? [HOTS]

Explaination: Yes, when they are exposed to electromagnetic radiations of higher frequency.

69. A photosensitive surface emits photoelectrons when red light falls on it. Will the surface emit photoelectrons when blue light is incident on it? Give reason. [Foreign 2017]

Explaination:
Since condition for photoemission is $$\frac{h c}{\lambda} \geq \phi_{0}$$ (work function) and λB < λR hence, surface will emit photoelectrons.

70. What happens to the wavelength of a photon after it collides with an electron?

Explaination: The wavelength of a photon increases.

71. State de Broglie hypothesis. [Delhi 2012]

Explaination:
“Particles of matter moving with a given velocity (momentum) can display wave-like properties”.
$$\lambda=\frac{h}{p}$$

72. Write the expression for the de Broglie wavelength associated with a charged particle having charge q and mass m, when it is accelerated by a potential V. [AI2013]

Explaination:
De Broglie wavelength associated with a charged particle when accelerated by a potential V is given by
$$\lambda=\frac{h}{p}=\frac{h}{\sqrt{2 m q V}}$$
where m = mass of charge particle and q = charge on the particle

73. A proton and an electron have same kinetic energy. Which one has smaller de Broglie wavelength and why? [AI 2012]

Explaination:

74. Show on a graph the variation of the de Broglie wavelength (λ) associated with an electron with the square root of accelerating potential (V). [Delhi 2019, Similar Panchkula 2019, Foreign 2012]

Explaination:

75. Write the relationship of de Broglie wavelength λ associated with a particle of mass m in terms of its kinetic energy E. [Delhi 2011C]

Explaination:
The required relation is given by $$\lambda=\frac{h}{\sqrt{2 m E}}$$

76. Name an experiment which shows wave nature of electrons. Which phenomenon was observed in this experiment using an electron beam?

Explaination:
Experiment: Davisson and Germer
Phenomenon: Diffraction

77. Two lines, A and B, in the plot given below show the variation of de Broglie wavelength, λ versus 1/√V, where V is the accelerating potential difference, for two particles carrying the same charge. Which one of two represents a particle of smaller mass?

Explaination:

78. The de Broglie wavelength of a particle of kinetic energy K is λ. What would be the wavelength of the particle, if its kinetic energy were K/4 [HOTS]

Explaination:

79. An electron and alpha particle have the same kinetic energy. How are the de Broglie wavelength associated with them related? [Similar Delhi 2019]

Explaination:

80. Two metals A and B have work functions 2 eV and 5 eV respectively. Which metal has lower threshold wavelength?

Explaination:
Metal with work function 5 eV has lower threshold wavelength, i.e. metal B.

81. Show graphically how the maximum kinetic energy of electrons emitted from a photosensitive surface varies with the frequency of incident radiations.

Explaination:

82. What is the charge on metal in the photoelectric experiment?

Explaination: It will possess positive charge as it has lost electrons.

83. What is the momentum of a photon of
(i) frequency v, and (ii) wavelength λ?

∴ Momentum of a photon = mc = $$\frac{hv}{c}$$
(ii) The momentum of a photon of wavelength λ is p = $$\frac{h}{\lambda}$$.