## Maharashtra State Board Class 8 Maths Solutions Chapter 9 Discount and Commission Practice Set 9.2

Question 1.

John sold books worth Rs 4500 for a publisher. For this he received 15% commission. Complete the following activity to find the total commission John obtained.

Solution:

Selling price of the books = Rs 4500

Rate of commission = 15%

Commission obtained = 15% of selling price

\(=\frac{[15]}{[100]} \times[4500]\)

= 15 × 45

∴ Commission obtained = 675 Rupees.

∴ The total commission obtained by John is Rs 675.

Question 2.

Rafique sold flowers worth Rs 15,000 by giving 4% commission to the agent. Find the commission he paid. Find the amount received by Rafique.

Solution:

Here, selling price of flowers = Rs 15,000,

Rate of commission = 4%

i. Commission = 4% of selling price

= \(\frac { 4 }{ 100 }\) × 15,000

= 4 x 150

∴ Commission = Rs 600

ii. Amount received by Rafique = selling price – commission

= 15,000 – 600

= Rs 14,400

∴ Rafique paid Rs 600 as commission and the amount received by him was Rs 14,400.

Question 3.

A farmer sold food grains for Rs 9200 through an agent. The rate of commission was 2%. How much amount did the agent get ?

Solution:

Here, selling price of food grains = Rs 9200,

Rate of commission = 2%

Commission = 2% of selling price

= \(\frac { 2 }{ 100 }\) × 9200

= 2 × 92

= Rs 184

∴ The agent got a commission of Rs 184.

Question 4.

Umatai purchased following items from a Khadi – Bhandar.

i. 3 sarees for Rs 560 each.

ii. 6 bottles of honey for Rs 90 each.

On the purchase, she received a rebate of 12%. How much total amount did Umatai pay?

Solution:

Here, number of sarees = 3,

Price of each saree = Rs 560

∴ Cost of 3 sarees = 560 × 3

= Rs 1680 …(i)

Also, number of honey bottles = 6,

Price of each bottle = Rs 90

∴ Cost of 6 honey bottles = 90 × 6

= Rs 540

Total amount of purchase

= cost of 3 sarees + cost of 6 honey bottles

= 1680 + 540 … [From (i) and (ii)]

= Rs 2220 …(iii)

Rate of rebate = 12%

Rebate = 12% of total amount of purchase

= \(\frac { 12 }{ 100 }\) × 2220

= 12 × 22.20

= Rs 266.40 ..(iv)

Amount paid by Umatai

= Total amount of purchase – Rebate

= 2,220 – 266.40 … [From (iii) and (iv)]

= Rs 1953.60

∴ The total amount paid by Umatai is Rs 1953.60.

Question 5.

Use the given information and fill in the boxes with suitable numbers.

Smt. Deepanjali purchased a house for Rs 7,50,000 from Smt. Leelaben through an agent. Agent has charged 2 % brokerage from both of them.

Solution:

i. Smt. Deepanjali paid 7,50,000 × \(\frac { 2 }{ 100 }\)

= 7,500 × 2 = Rs 15,000 brokerage for purchasing the house.

ii. Smt. Leelaben paid brokerage of Rs 15,000

iii. Total brokerage received by the agent is = 15,000 + 15,000 = Rs 30,000

iv. The cost of house Smt. Deepanjali paid is = 7,50,000 + 15,000 = Rs 7,65,000

v. The selling price of house for Smt.Leelaben is = 7,50,000 – 15,000

= Rs 7,35,000