ML Aggarwal Class-7 Percentage and its Applications ICSE Mathematics Solutions Chapter-7. We provide step by step Solutions of Exercise / lesson-7 Percentage and its Applications ICSE Class-7th ML Aggarwal Mathematics .
Our Solutions contain all type Questions with Exe-7.1 , Exe-7.2, Exe-7.3 , Exe-7.4, Objective Type Questions ( including Mental Maths Multiple Choice Questions Value Based Questions, HOT) and Check Your Progress to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.
ML Aggarwal Class-7 Percentage and its Applications ICSE Mathematics Solutions Chapter-7
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Objective Type Questions Mental Maths,
Multiple Choice Questions ,(MCQ)
Exercise – 7.1, ML Aggarwal Class-7 Percentage and its Applications ICSE Mathematics Solutions
Question 1.
Convert the following percents into fractions in simplest form:
(i) 25%
(ii) 150%
(iii) 7.1⁄2 %
(iv) 33.1⁄3 %
Answer-1
Question 2.
Convert the following fractions into percent’s:
(i) 1/8
(ii) 5/4
(iii) 9/16
(iv) 3/7
(v) 11/15
(vi) 13⁄8
Answer-2
Question- 3.
(i) 6 students out of 40 students in a class are absent. What percentage of students are absent ?
(ii) Antony secured 384 marks out of 500 marks. Find the percentage of marks secured by Antony.
(iii) A shop has 500 shirts, out of which 15 are defective. What percentage of shirts are defective?
(iv) Vani has a collection of bangles. She has 20 gold bangles and 10 silver bangles. What is the percentage of each type of bangles?
(v) There are 120 voters and 90 of them voted. What percent did not vote?
Answer-3
Question 4.
Estimate the part of the figure which is shaded and hence find the percentage of the part which is shaded.
.…………
Answer-4
Question 5.
Convert the following percentage into ratios in sirup rest form:
(i) 14 %
(ii) 13⁄4 %
(iii) 331⁄3 %
(iv) 37.5 %
Answer-5
Question 6.
Express the following ratios as percentages:
(i) 5 : 4
(ii) 1 : 1
(iii) 2 : 3
(iv) 9 : 16
Answer-6
Question -7.
An alloy consists of 7 parts of zinc and 33 parts of copper. Find the percentage of copper in the alloy ?
Answer-7
Question -8.
Chalk contains calcium, carbon and sand in the ratio 12 : 3 : 10. Find the percentage of carbon in the chalk 12%.
Answer-8
Question- 9.
If ₹ 2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?
Answer-9
Question- 10.
Convert the following percentages to decimals:
(i) 28%
(ii) 3%
(iii) 0. 44%
(iv) 371⁄2 %
Answer-10
Question -11.
Convert the following decimals to percent’s:
(i) 0.65
(ii) 0.9
(iii) 2.1
(iv) 0.02
Answer-11
Question 12.
(i) If 42% of the students in a class are girls, then what percent of the students in the class are boys?
(ii) We have a basket full of apples, oranges, and mangoes if 50% are apples, 30% are oranges, then what percent are mangoes?
Answer-12
ML Aggarwal Class-7 ICSE Mathematics Solutions Exercise – 7.2 Percentage and its Applications
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
Answer-1
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?
Answer-2
Question -3.
Vasundhara ate 3 ice cream cups out of 20 kept in the fridge. What per cent did she eat?
Answer-3
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
Answer-4
Question 5.
What per cent is:
(i) 12 of 80
(ii) 25 paise of 4 rupees
(iii) 300 g of 2 kg
Answer-5
Question- 6.
A school team won 6 games this year against 4 games won last year. What is the per cent increase?
Answer-6
Question -7.
The price of a shirt decreased from ₹ 80 to ₹ 60, find the percentage of decrease in the price of the shirt.
Answer-7
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?
Answer-8
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.
Answer-10
Question -11.
Out of 15000 voters in a constituency, 60% voted. Find the number of voters who did not vote.
Answer-11
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?
Answer-12
Question -13.
Chalk contains 10% calcium, 3% carbon, 12% oxygen and the remaining sand. Find the amount of carbon and calcium (in grams) in 212 kg of chalk. Also, find the amount of sand (in kg).
Answer-13
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
Answer-14
Question -15.
Mohini saves ₹ 400 from her salary. If this is 10% of her salary, then what is her salary?
Answer-15
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.
Answer-16
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?
Answer-17
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.
Answer-18
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.
Answer-19
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?
Answer-20
Question- 21.
(i) Find the number which when increased by 30% becomes 39.
(ii) Find the number which when decreased by 8% becomes 506.
Answer-21
Question -22.
The price of a shirt is reduced by 7% to ₹ 465. What is its original price?
Answer-22
Exercise – 7.3 Percentage and its Applications ML Aggarwal Class-7 ICSE Mathematics Solutions
Questions -1.
Rohan bought a calculator for ₹ 760 and sold it for ₹ 874. Find his profit and profit percentage.
Answer-1
C.P. of a calculator and S.P.
and
Question -2.
Kirti bought a saree for ₹ 2500 and sold it for ₹ 2300. Find her loss and loss percent.
Answer-2
C.P. of a saree
and S.P.
Loss = C.P. – S.P.
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.
Answer-3
Question- 4.
Rajinder bought one almirah for ₹ 4800 and the other for ₹ 3640. He sold the first almirah at a gain of 1313 % and the other at a loss of 15%. How much did he gain or lose in the whole deal?
Answer-4
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.
Answer-5
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?
Answer-6
selling price = 810/-
profit = 60/-
cost price = Selling Price – Profit
cost price = 750/-
profit percentage= 60 x 100 / 750
= 8 %
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.
Answer-7
S.P. of a steel almirah
Answer-8
Given: CP = Rs. 120 and Loss percent = 10.
Loss of 10% means if CP is Rs. 100, Loss is Rs. 10
Therefore,
SP would be Rs.(100 – 10) = Rs. 90
When CP is Rs. 100, SP is Rs. 90.
Therefore, if CP were Rs. 120 then
SP = 90×120 / 100
= Rs. 108.
Answer-9
Profit = 20% of 10000
=20 ×10000 / 100
= Rs 2000
Selling price = Cost price + Profit
= 10000 + 2000
= Rs 12,000
Answer-10
S.P. of an article
Cost price
Answer-11
S.P. of an article
Loss
Cost price
=Rs.320×100 / 80
Answer-12
S.P. of a chair
Answer-13
S.P. of damaged garments
Answer-14
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?
Answer-15
Percentage and its Applications Exercise – 7.4 ML Aggarwal Class-7 ICSE Mathematics Solutions
Question 1
Question 1.
Find the simple interest on:
(i) ₹ 350 for 2 years at 11% per annum
(ii) ₹ 20000 for 4.1⁄2 years at 81⁄2 % per annum
(iii) ₹ 648 for 8 months at 162⁄3 % per annum. Also, find the amount in each case.
Answer-1
Question 2.
Find the time when:
(i) simple interest on ₹ 2500 at 4% per annum is ₹ 200
(ii) simple interest on ₹ 12000 at 61⁄2 % per annum is ₹ 2730
Answer-2
Question- 3.
Find the rate of interest when:
(i) simple interest on ₹ 1560 in 3 years is ₹ 585
(ii) simple interest on ₹ 1625 in 21⁄2 years is ₹ 325.
Answer-3
Question- 4.
Find the principal when:
(i) simple interest at 16% per annum for 21⁄2 years is ₹ 3840
(ii) simple interest at 71⁄2 % per annum for 2 years 4 months is ₹ 2730.
Answer-4
Question- 5.
Find the rate of interest when:
(i) ₹ 1200 amounts to ₹ 1320 in 2 years
(ii) ₹ 300 amounts to ₹ 400 in 2 years.
Answer-5
Question- 6.
Find the time when:
(i) ₹ 1250 amounts to ₹ 1950 at 16% per annum
(ii) ₹ 6540 amounts to ₹ 8447.50 at 121⁄2 per annum.
Answer-6
Question -7.
₹ 14000 is invested at 4% per annum simple interest. How long will it take for the amount to reach ₹ 16240?
Answer-7
Question- 8.
An amount of money invested trebled in 6 years. Find the rate of interest earned.
Answer-8
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 21⁄2 years.
Answer-9
Objective Type Questions
Mental Maths, Chapter-7 ML Aggarwal Class-7 Percentage and its Applications
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 1.3⁄4 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.
Answer-1
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) 61⁄4 % expressed as a fraction is 11⁄16.
(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.
Answer-2
Multiple Choice Question (MCQ)
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications
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) 662⁄3 %
(d) 331⁄3 %
Answer-3
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%
Answer-4
Question 5.
225% is equal to
(a) 2 : 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4
Answer-5
Question 6.
If 30% of x is 72, then x is equal to
(a) 120
(b) 240
(c) 360
(d) 480
Answer-6
Question -7.
If x% of 80 = 12, then x is equal to
(a) 15
(b) 20
(c) 25
(d) 30
Answer-7
Question -8.
0.025 when expressed as a percent is
(a) 250%
(b) 25%
(c) 4%
(d) 2.5%
Answer-8
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
Answer- 9
Question -10.
What percent of 1/7 is 2/35 ?
(a) 20%
(b) 25%
(c) 30%
(d) 40%
Answer-10
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%
Answer-11
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 2⁄3 %
Answer-12
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
Answer-13
Question 14.
On selling an article for ₹ 100, Renu gains ₹ 20. Her gain percentage is
(a) 25%
(b) 20%
(c) 15%
(d) 40%
answer-14
Question 15.
The simple interest on ₹ 6000 at 8% p.a. for one year is
(a) ₹ 600
(b) ₹ 480
(c) ₹ 400
(d) ₹ 240
Answer-15
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
Answer-16
Value Based Question
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications
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?
Answer-1
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.
Answer-2
Higher Order Thinking Skills ( HOTS )
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications
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.
Answer-2
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.
Answer-2
Check Your Progress ML Aggarwal Class-7 Percentage and Its Applications
Question 1.
Convert the following percentages into fractions in the simplest form:
(i) 12.1⁄2 %
(ii) 66.2⁄3 %
(iii) 8.1⁄3 %
Answer-1
Question 2.
Express each of the following fractions as a percentage:
(i) .5⁄8
(ii) .13⁄40
(iii) 7⁄6
answer-2
Question 3.
Express each of the following percentages as a decimal:
(i) 122%
(ii) 2.2%
(iii) 31⁄8 %
Answer-3
Question 4.
Express 0.0345 as a percentage.
Answer-4
Question 5.
Convert each part of the ratio 5 : 6 : 9 to a percentage.
Answer-5
Question 6.
(i) What percent of a day is half an hour?
(ii) What percent is 3⁄4 metres of 41⁄2 metres?
Answer-6
Question 7.
The population of a town decreased from 25000 to 24500. Find the percentage decrease.
Answer-7
Question 8.
Arun bought a car for ₹ 350000. The next year, the price went upto ₹ 370000. What was the precentage increase in the price?
Answer-8
Question 9.
The population of a village has decreased by 6%. If the original population was 3650, find the population after decrease.
Answer-9
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.
Answer-10
Question- 11.
Rohan bought a calculator for ₹ 760 and sold it for ₹ 874. Find his profit and profit percentage.
Answer-11
Question- 12.
On selling an article for ₹ 1027, Meena suffered a loss of ₹ 273. Find her loss percentage.
Answer-12
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%?
Answer-13
Question 14.
A shopkeeper sells an article at ₹ 300, thus earning a profit of 20%. Find the cost price of the article.
Question-14
Question 15.
A shopkeeper sells an article at ₹ 320, thus suffering a loss of 20%. Find the cost price of the article.
Answer-15
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.
Answer-16
Question 17.
How long will it take for ₹ 1860 invested at the rate of 9.5% per annum simple interest to amount to ₹ 2449?
Answer-17
Question 18.
At what rate will ₹ 7200 fetch a simple interest of ₹ 3024 in 4 years?
Answer-18
Question 19.
What sum of money will yield a simple interest of ₹ 1155in 3 years 6 months at 11% p.a.?
Answer-19
– : End of ML Aggarwal Class-7 Percentage and its Applications Solutions :–
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