## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its applications Check Your Progress

Question 1.

Convert the following percentages into fractions in the simplest form:

(i) 12\(\frac { 1 }{ 2 }\) %

(ii) 66\(\frac { 2 }{ 3 }\) %

(iii) 8\(\frac { 1 }{ 3 }\) %

Solution:

Question 2.

Express each of the following fractions as a percentage:

(i) \(\frac { 5 }{ 8 }\)

(ii) \(\frac { 13 }{ 40 }\)

(iii) \(\frac { 7 }{ 6 }\)

Solution:

Question 3.

Express each of the following percentages as a decimal:

(i) 122%

(ii) 2.2%

(iii) 3\(\frac { 1 }{ 8 }\) %

Solution:

Question 4.

Express 0.0345 as a percentage.

Solution:

Question 5.

Convert each part of the ratio 5 : 6 : 9 to a percentage.

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Question 6.

(i) What percent of a day is half an hour?

(ii) What percent is \(\frac { 3 }{ 4 }\) metres of 4\(\frac { 1 }{ 2 }\) metres?

Solution:

Question 7.

The population of a town decreased from 25000 to 24500. Find the percentage decrease.

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Question 8.

Arun bought a car for ₹ 350000. The next year, the price went upto ₹ 370000. What was the precentage increase in the price?

Solution

Question 9.

The population of a village has decreased by 6%. If the original population was 3650, find the population after decrease.

Solution:

Question 10.

43% of the students in a school are girls. If the number of boys is 1482, find:

(i) the total strength of the school

(ii) number of girls in the school.

Solution:

Question 11.

Rohan bought a calculator for ₹ 760 and sold it for ₹ 874. Find his profit and profit percentage.

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Question 12.

On selling an article for ₹ 1027, Meena suffered a loss of ₹ 273. Find her loss percentage.

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Question 13.

By selling a fan for ₹ 710, a trader suffers a loss of ₹ 40. Find the cost price of the fan. At what price this fan should be sold in order to gain 10%?

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Question 14.

A shopkeeper sells an article at ₹ 300, thus earning a profit of 20%. Find the cost price of the article.

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Question 15.

A shopkeeper sells an article at ₹ 320, thus suffering a loss of 20%. Find the cost price of the article.

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Question 16.

If ₹ 6000 is borrowed at 6.5% per annum simple interest, find the interest and the amount to be paid at the end of 3 years.

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Question 17.

How long will it take for ₹ 1860 invested at the rate of 9.5% per annum simple interest to amount to ₹ 2449?

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Question 18.

At what rate will ₹ 7200 fetch a simple interest of ₹ 3024 in 4 years?

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Question 19.

What sum of money will yield a simple interest of ₹ 1155in 3 years 6 months at 11% p.a.?

Solution: