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ML Aggarwal Class 7 Solutions Chapter 7 Percentage and Its Applications Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

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.
Solution:

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.
Solution:

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.
Solution:

Question 12.
On selling an article for ₹ 1027, Meena suffered a loss of ₹ 273. Find her loss percentage.
Solution:

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%?
Solution:

Question 14.
A shopkeeper sells an article at ₹ 300, thus earning a profit of 20%. Find the cost price of the article.
Solution:

Question 15.
A shopkeeper sells an article at ₹ 320, thus suffering a loss of 20%. Find the cost price of the article.
Solution:

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.
Solution:

Question 17.
How long will it take for ₹ 1860 invested at the rate of 9.5% per annum simple interest to amount to ₹ 2449?
Solution:

Question 18.
At what rate will ₹ 7200 fetch a simple interest of ₹ 3024 in 4 years?
Solution:

Question 19.
What sum of money will yield a simple interest of ₹ 1155in 3 years 6 months at 11% p.a.?
Solution:

ML Aggarwal Class 7 Solutions Chapter 7 Percentage and Its Applications Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications Objective Type Questions

Question 1.
Fill in the blanks:
(i) 6% of ₹ 50 = ……….
(ii) If 25% of a number is 12, then the number is ……….
(iii) The mixed fraction 1\(\frac { 3 }{ 4 }\) converted to percentage form is
(iv) If a number increases from 20 to 28, then the increasing percentage is ………
(v) If cost price is ₹ 400 and loss is 15%, then the selling price is ……..
(vi) The profit or loss percentage is always calculated on ……….
(vii) The simple interest on a sum of ₹ 5600 at 8% p.a. for one year is ……….
(viii) 135% converted to decimal is ………
(ix) ……… is 50% more than 60.
(x) 25 mL is ………… percent of 5 litres.
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) 20% more than 30 is 36.
(ii) The ratio 2 : 5 converted to percentage is 60%.
(iii) 6\(\frac { 1 }{ 4 }\) % expressed as a fraction is \(\frac { 1 }{ 16 }\).
(iv) 80% of 450 m is equal to 360 m.
(v) If a number decreases from 20 to 15, then the decrease is 25%.
(vi) If Feroz obtains 336 marks out of600 marks, then the percentage of marks obtained by him is 33.6.
(vii) 0.018 is equivalent to 8%.
(viii) 250 cm is 4% of 1 km.
(ix) If S.P. of an article is ₹ 540 and loss is ₹ 40, then its C.P. is ₹ 500.
(x) By selling a book for ₹ 50, a shopkeeper suffers a loss of 10%. The cost price of the books is ₹ 60.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 16):
Question 3.
The ratio 2 : 3 expressed as percent is
(a) 40%
(b) 60%
(c) 66\(\frac { 2 }{ 3 }\) %
(d) 33\(\frac { 1 }{ 3 }\) %
Solution:

Question 4.
The ratio of Fatima’s income to her saving is 4 : 1. The percentage of money saved by her is
(a) 20%
(b) 25%
(c) 40%
(d) 80%
Solution:

Question 5.
225% is equal to
(a) 2 : 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4
Solution:

Question 6.
If 30% of x is 72, then x is equal to
(a) 120
(b) 240
(c) 360
(d) 480
Solution:

Question 7.
If x% of 80 = 12, then x is equal to
(a) 15
(b) 20
(c) 25
(d) 30
Solution:

Question 8.
0.025 when expressed as a percent is
(a) 250%
(b) 25%
(c) 4%
(d) 2.5%
Solution:

Question 9.
In class, 45% of students are girls. If there are 22 boys in the class, then the total number of students in the class is
(a) 30
(b) 36
(c) 40
(d) 44
Solution:

Question 10.
What percent of \(\frac { 1 }{ 7 }\) is \(\frac { 2 }{ 35 }\) ?
(a) 20%
(b) 25%
(c) 30%
(d) 40%
Solution:

Question 11.
If a man buys an article for ₹ 80 and sells it for ₹ 100, then gain percentage is
(a) 20%
(b) 25%
(c) 40%
(d) 125%
Solution:

Question 12.
If a man buys an article for ₹ 120 and sells it for ₹ 100, then his loss percentage is
(a) 10%
(b) 20%
(c) 25%
(d) 16\(\frac { 2 }{ 3 }\)%
Solution:

Question 13.
The salary of a man is ₹ 24000 per month. If he gets an increase of 25% in the salary, then the new salary per month is
(a) ₹ 2500
(b) ₹ 28000
(c) ₹ 30000
(d) ₹ 36000
Solution:

Question 14.
On selling an article for ₹ 100, Renu gains ₹ 20. Her gain percentage is
(a) 25%
(b) 20%
(c) 15%
(d) 40%
Solution:

Question 15.
The simple interest on ₹ 6000 at 8% p.a. for one year is
(a) ₹ 600
(b) ₹ 480
(c) ₹ 400
(d) ₹ 240
Solution:

Question 16.
If Rohit borrows ₹ 4800 at 5% p.a. simple interest, then the amount he has to return at the end of 2 years is
(a) ₹ 480
(b) ₹ 5040
(c) ₹ 5280
(d) ₹ 5600
Solution:

Value Based Questions

Question 1.
One bad apple is accidentally mixed with some good apples in a basket. As a result of which 25% of the total apples go bad. Now the number of good apples in the basket is 30. Find the number of good apples kept in the basket previously. What will happen if one bad person is mixed with some good ones?
Solution:

Question 2.
There is a group of 50 people who are patriotic out of which 40% believe in non-violence. Find the number of persons who believe in non-violence. Explain the importance of non-violence in patriotism.
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
A person preparing medicine wants to convert 15% alcohol solution into 32% alcohol solution. Find how much pure alcohol should he mix with 400 mL of 15% alcohol solution to obtain it.
Solution:

Question 2.
A manufacturer sells an item to an agency at a profit of 25%. The agency sells the item to a shopkeeper at 10% profit and shopkeeper sells the item at a profit of 20%. If the selling price of the item is ₹ 594, find the manufacturing price.
Solution:

ML Aggarwal Class 7 Solutions Chapter 7 Percentage and Its Applications Ex 7.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its applications Ex 7.4

Question 1.
Find the simple interest on:
(i) ₹ 350 for 2 years at 11% per annum
(ii) ₹ 20000 for 4\(\frac { 1 }{ 2 }\) years at 8\(\frac { 1 }{ 2 }\) % per annum
(iii) ₹ 648 for 8 months at 16\(\frac { 2 }{ 3 }\) % per annum. Also, find the amount in each case.
Solution:

Question 2.
Find the time when:
(i) simple interest on ₹ 2500 at 4% per annum is ₹ 200
(ii) simple interest on ₹ 12000 at 6\(\frac { 1 }{ 2 }\) % per annum is ₹ 2730
Solution:

Question 3.
Find the rate of interest when:
(i) simple interest on ₹ 1560 in 3 years is ₹ 585
(ii) simple interest on ₹ 1625 in 2\(\frac { 1 }{ 2 }\) years is ₹ 325.
Solution:

Question 4.
Find the principal when:
(i) simple interest at 16% per annum for 2\(\frac { 1 }{ 2 }\) years is ₹ 3840
(ii) simple interest at 7\(\frac { 1 }{ 2 }\) % per annum for 2 years 4 months is ₹ 2730.
Solution:

Question 5.
Find the rate of interest when:
(i) ₹ 1200 amounts to ₹ 1320 in 2 years
(ii) ₹ 300 amounts to ₹ 400 in 2 years.
Solution:

Question 6.
Find the time when:
(i) ₹ 1250 amounts to ₹ 1950 at 16% per annum
(ii) ₹ 6540 amounts to ₹ 8447.50 at 12\(\frac { 1 }{ 2 }\) per annum.
Solution:

Question 7.
₹ 14000 is invested at 4% per annum simple interest. How long will it take for the amount to reach ₹ 16240?
Solution:

Question 8.
An amount of money invested trebled in 6 years. Find the rate of interest earned.
Solution:

Question 9.
Find the principal when:
(i) final amount is ₹ 4500 at 20% per annum for 5 years
(ii) final amount is ₹ 2420 at 4% per annum for 2\(\frac { 1 }{ 2 }\) years.
Solution:

ML Aggarwal Class 7 Solutions Chapter 7 Percentage and Its Applications Ex 7.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications Ex 7.3

Questions 1.
Rohan bought a calculator for ₹ 760 and sold it for ₹ 874. Find his profit and profit percentage.
Solution:

Question 2.
Kirti bought a saree for ₹ 2500 and sold it for ₹ 2300. Find her loss and loss percent.
Solution:

Question 3.
Tell what is profit or loss in the following transactions. Also find profit percent or loss percent in each case:
(i) Gardening shears bought for ₹ 250 and sold for ₹ 325.
(ii) A shirt bought for ₹ 250 and sold at ₹ 150.
Solution:

Question 4.
Rajinder bought one almirah for ₹ 4800 and the other for ₹ 3640. He sold the first almirah at a gain of 13\(\frac { 1 }{ 3 }\) % and the other at a loss of 15%. How much did he gain or lose in the whole deal?
Solution:

Question 5.
In a furniture shop, 24 tables were bought at the rate of ₹ 450 per table. The shopkeeper sold 16 of them at the rate of ₹ 600 per table and the remaining at the rate of ₹ 400 per table. Find his gain or loss percent.
Solution:

Question 6.
By selling a fan for ₹ 810, a dealer makes a profit of ₹ 60. What is the cost price of the fan? What is his profit percent?
Solution:

Question 7.
By selling a steel almirah for ₹ 3906, a manufacturer suffers a loss of ₹ 294. Find the cost price of the almirah and his loss percentage.
Solution:

Question 8.
The cost price of a flower vase is ₹ 120. If the shopkeeper sells it at a loss of 10%, find the price at which it was sold.
Solution:

Question 9.
I buy a T.V. for ₹ 10000 and sell it at a profit of 20%. How much money do I get for it?
Solution:

Question 10.
A shopkeeper sells an article at ₹ 300, thus earning a profit of 20%. Find the cost price of the article.
Solution:

Question 11.
A shopkeeper sells i n article at ₹ 320, thus suffering a loss of 20%. Find the cost price of the article.
Solution:

Question 12.
By selling a chair for ₹ 522, a shopkeeper makes a profit of 16%. What is its cost price?
Solution:

Question 13.
A trader sold some damaged garments for ₹ 7360 at a loss of 8%. Find the cost price of the garments.
Solution:

Question 14.
By selling a table for ₹ 3168, Rashid loses 12%. Find its cost price. What percent would he gain or lose by selling the table for ₹ 3870?
Solution:

Question 15.
By selling an article for ₹ 4550, Tony incurs a loss of 9%. What percent would he gain or lose by selling it for ₹ 4825?
Solution:

ML Aggarwal Class 7 Solutions Chapter 7 Percentage and Its Applications Ex 7.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications Ex 7.2

Question 1.
Find:
(i) 15% of 250
(ii) 25% of 120 litres
(iii) 1% of 1 hour
(iv) 75% of 1 kg
(v) 120% of ₹ 250
(vi) 0.6% of 2 km
Solution:

Question 2.
8% of children of a class of 25 like getting wet in the rain. How many children like getting wet in the rain?
Solution:

Question 3.
Vasundhara ate 3 ice cream cups out of 20 kept in the fridge. What per cent did she eat?
Solution:

Question 4.
Express:
(i) 20 as a percentage of 50
(ii) 60 litres as a percentage of 40 litres
(iii) 90 cm as a percentage of 4.5 m
(iv) 350 g as a percentage of 5.6 kg
Solution:

Question 5.
What per cent is:
(i) 12 of 80
(ii) 25 paise of 4 rupees
(iii) 300 g of 2 kg
Solution:

Question 6.
A school team won 6 games this year against 4 games won last year. What is the per cent increase?
Solution:

Question 7.
The price of a shirt decreased from ₹ 80 to ₹ 60, find the percentage of decrease in the price of the shirt.
Solution:

Question 8.
My mother says, in her childhood petrol was ₹ 1 per litre. It is ₹ 65 per litre today. By what percentage has the prices of petrol gone up?
Solution:

Question 9.
Rate of basmati rice last year was ₹ 40 a kg. This year they are costly by 20%. What is the price this year?
Solution:

Question 10.
300 students took an exam. 28% failed. Calculate the number of students who passed the exam.
Solution:

Question 11.
Out of 15000 voters in a constituency, 60% voted. Find the number of voters who did not vote.
Solution:

Question 12.
20% of the length of a flagpole is painted green, 45% is painted yellow and the remaining red. If the length of the pole is 18 m, what length of it is painted red?
Solution:

Question 13.
Chalk contains 10% calcium, 3% carbon, 12% oxygen and the remaining sand. Find the amount of carbon and calcium (in grams) in 2\(\frac { 1 }{ 2 }\) kg of chalk. Also, find the amount of sand (in kg).
Solution:

Question 14.
Find the whole quantity if:
(i) 25% of it is 9
(ii) 75% of it is 15
(iii) 12% of it is ₹ 1080
(iv) 8% of it is 40 litres
Solution:

Question 15.
Mohini saves ₹ 400 from her salary. If this is 10% of her salary, then what is her salary?
Solution:

Question 16.
16% of the apples in a basket go bad. If there are 42 good apples in the basket, find the total number of apples in the basket.
Solution:

Question 17.
In an examination, a student has to secure 45% marks to pass the exam. If Varun got 251 marks and failed by 19 marks, what are the maximum marks?
Solution:

Question 18.
On a rainy day, 94% of the students were students absent on that day was 174, find the total strength of the school.
Solution:

Question 19.
40% of the population of a town are men and 39% are women. If the number of children is 12600, find the number of men.
Solutions:

Question 20.
If the price of a watch is increased by 15%, the increase in the price is ₹ 90. What was the price of watching earlier?
Solution:

Question 21.
(i) Find the number which when increased by 30% becomes 39.
(ii) Find the number which when decreased by 8% becomes 506.
Solution:

Question 22.
The price of a shirt is reduced by 7% to ₹ 465. What is its original price?
Solution: