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    Home » NCERT Solutions for Class 7 Maths Chapter 8 – Comparing Quantities
    Class 7 Maths

    NCERT Solutions for Class 7 Maths Chapter 8 – Comparing Quantities

    AdminBy AdminUpdated:June 7, 20228 Mins Read
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    Exercise 8.1 : Solutions of Questions on Page Number : 157


    Q1 : Find the ratio of:

    (a) Rs 5 to 50 paise

    (b) 15 kg to 210 g

    (c) 9 m to 27 cm

    (d) 30 days to 36 hours

    Answer :

    (a) Rs 5 to 50 paise
    1 rupee = 100 paise
    5 rupee = 500 paise

    Hence, the required ratio is 10:1.

    (b) 15 kg to 210 g
    1 kg = 1000 g
    15 kg = 15000 g

    Hence, the required ratio is 500:7.

    (c) 9 m to 27 cm
    1 m = 100 cm
    9 m = 900 cm

    Hence, the required ratio is 100:3.

    (d) 30 days to 36 hours
    1 days = 24 hrs
    30 days = 24 × 30 = 720 hrs

    Hence, the required ratio is 20:1.


    NCERT Solutions for Class 7 Maths Chapter 8 – Comparing Quantities

    Q2 : In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

    Answer :
    For 6 students, number of computers required = 3
    ∴ For 1 student, number of computers required = 3/6 = 1/2
    ∴ For 24 students, number of computers required = 24 * 1/2= 12
    Hence, 12 computers are required for 24 students.


    Q3 : Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs.
    Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2.

    (i) How many people are there per km2 in both these States?

    (ii) Which State is less populated?

    Answer :

    (i) Population of Rajasthan in 3 km2 area = 570 lakh
    Population of Rajasthan in 1 km2 area = 570 /3 = 190 lakh
    Population of U.P in 2 km2 area = 1660 lakh
    Population of U.P in 1 km2 area = 1660 / 2 = 830 lakh

    (ii) It can be observed that population per km2 area is lesser for Rajasthan. Therefore, Rajasthan is less populated.


    Exercise 8.2 : Solutions of Questions on Page Number : 164


    Q1 : Convert the given fractional numbers to per cents.
    (a) 1/ 8

    (b) 5/4

    (c) 3/ 40

    (d) 2/7

    Answer :
    (a) 1/ 8

    (b) 5/4

    (c)  3/ 40

    (d) 2/7


    Q2 : Convert the given decimal fractions to per cents.
    (a) 0.65

    (b) 2.1

    (c) 0.02

    (d) 12.35

    Answer :

    (a) 0.65

    (b)2.1

    (c) 0.02

    (d) 12.35


    Q3 : Estimate what part of the figures is coloured and hence find the per cent which is coloured.

    Answer :
    (i) Here, 1 part out of 4 equal parts are shaded which represents the fraction .


    (ii) Here, 3 parts out of 5 equal parts are shaded which represents the fraction .


    (iii) Here, 3 parts out of 8 equal parts are shaded which represents the fraction.


    Q4 : Find:

    (a) 15% of 250

    (b) 1% of 1 hour

    (c) 20% of Rs 2500

    (d) 75% of 1 kg

    Answer :
    (a)

    (b) 1 hour = 60 minutes

    (c)

    (d)


    Q5 : Find the whole quantity if

    (a) 5% of it is 600

    (b) 12% of it is 1080

    (c) 40% of it is 500 km

    (d) 70% of it is 14 minutes

    (e) 8% of it is 40 litres

    Answer :

    (a) 5% of x = 600

    (b) 12% of x = Rs 1080

    (c) 40% of x = 500 km

    (d) 70% of x = 14 min

    (e) 8% of x = 40 L

    = 500 L


    Q6 : Convert given percents to decimal fractions and also to fractions in simplest forms:

    (a) 25%

    (b) 150%
    (c) 20%

    (d) 5%

    Answer :
    (a) 25%
    (b) 150%
    (c) 20%
    (d) 5%


    Q7 : In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

    Answer :

    It is given that 30% are females and 40% are males.

    Children = (100 – 30 – 40) % = 30%


    Q8 : Out of 15, 000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?
    Answer :
    Percentage of voters who voted = 60%
    Percentage of those who did not vote = 100% – 60% = 40%
    Number of people who did not vote = 40% of 15000

    Therefore, 6000 people did not vote.


    Q9 : Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?

    Answer :
    Let Meeta’s salary be Rs x.
    Given that,
    10% of x = 400

    x = 400 × 10 = Rs 4000
    Therefore, Meeta’s salary is Rs 4000.


    Q10 : A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?

    Answer :
    Number of games won = 25% of 20

    Therefore, the team won 5 matches.


    Exercise 8.3 : Solutions of Questions on Page Number : 171


    Q1 : Tell what is the profit or loss in the following transactions. Also find profit
    percent or loss percent in each case.
    (a) Gardening shears bought for Rs 250 and sold for Rs 325.
    (b) A refrigerator bought for Rs 12,000 and sold at Rs 13,500.
    (c) A cupboard bought for Rs 2,500 and sold at Rs 3,000.
    (d) A skirt bought for Rs 250 and sold at Rs 150.

    Answer :

    (a) Cost price = Rs 250
    Selling price = Rs 325
    Profit = 325 – 250 = Rs 75

    == 30%

    (b) Cost price = Rs 12000
    Selling price = Rs 13,500
    Profit = 13500 – 12000 = Rs 1500

    Profit % = = 12.5%

    (c) Cost price = Rs 2500
    Selling price = Rs 3000
    Profit = 3000 – 2500 = Rs 500

    Profit % == 20%

    (d) Cost price = Rs 250
    Selling price = Rs 150
    Loss = 250 – 150 = Rs 100

    Loss % = = 40%


    Q2 : Convert each part of the ratio to percentage:
    (a) 3:1

    (b) 2:3:5

    (c) 1:4

    (d) 1:2:5

    Answer :

    (a) 3: 1
    Total parts = 3 + 1 = 4
    1st part
    2nd part =

    (b) 2: 3: 5
    Total parts = 2 + 3 + 5 = 10
    1st part =
    2nd part =
    3rd part =

    (c) 1: 4
    Total parts =1 + 4 = 5
    1st part =
    2nd part =

    (d) 1: 2: 5
    Total parts = 1 + 2 + 5 = 8
    1st part =
    2nd part =
    3rd =


    Q3 : The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.

    Answer :
    Initial population = 25000
    Final population = 24500
    Decrease = 500
    % decrease =


    Q4 : Arun bought a car for Rs 3,50,000. The next year, the price went upto
    Rs 3,70,000. What was the percentage of price increase?

    Answer :
    Initial price = Rs 350000
    Final price = Rs 370000
    Increase = Rs 20000
    % increase =
    = %


    Q5 : I buy a T.V. for Rs 10,000 and sell it at a profit of 20%. How much money do I get for it?

    Answer :
    Cost price = Rs 10000
    Profit = 20% of 10000

    = Rs 2000
    Selling price = Cost price + Profit
    = 10000 + 2000 = Rs 12,000


    Q6 : Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?

    Answer :
    Selling price = Rs 13500
    Loss % = 20%
    Let the cost price be x.
    ∴ Loss = 20% of x
    Cost price – Loss = Selling price

    = 16875
    Therefore, she bought it for Rs 16875.


    Q7 : (i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.

    (ii) If in a stick of chalk, carbon is 3g, what is the weight of the chalk stick?

    Answer :

    (i) Ratio of calcium, carbon, and oxygen = 10: 3: 12
    As 10 + 3 +12 = 25,
    Therefore, percentage of carbon = = 12%

    (ii) Let the weight of the stick be x g.
    12 % of x = 3


    Q8 : Amina buys a book for Rs 275 and sells it at a loss of 15%. How much does she sell it for?

    Answer :
    Cost price = Rs 275
    Loss % = 15%
    Loss = 15% of 275
    Cost price – Loss = Selling price

    275 – 41.25 = Selling price
    Selling price = Rs 233.75


    Q9 :Find the amount to be paid at the end of 3 years in each case:

    (a) Principal = Rs 1,200 at 12% p.a.

    (b) Principal = Rs 7,500 at 5% p.a.

    Answer :

    (a) Principal (P) = Rs 1200
    Rate (R) = 12 % p.a.
    Time (T) = 3 years

    = Rs 432
    Amount = P + S.I.
    = 1200 + 432
    = Rs 1632

    (b) P = Rs 7500
    R = 5% p.a.
    T = 3 years

    = Rs 1125
    Amount = 7500 + 1125
    = Rs 8625


    Q10 : What rate gives Rs 280 as interest on a sum of Rs 56,000 in 2 years?

    Answer :

    Therefore, 0.25% gives Rs 280 as interest on the given sum.


    Q11 : If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

    Answer :


    = Rs 500
    Therefore, she borrowed Rs 500.


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    Previous ArticleNCERT Solutions for Class 7 Maths Chapter 7 – Congruence of Triangles
    Next Article NCERT Solutions for Class 7 Maths Chapter 9 – Rational Numbers
    • Chapter 1 - Integers
    • Chapter 2 - Fractions and Decimals
    • Chapter 3 - Data Handling
    • Chapter 4 - Simple Equations
    • Chapter 5 - Lines and Angles
    • Chapter 6 - The Triangle and its Properties
    • Chapter 7 - Congruence of Triangles
    • Chapter 8 - Comparing Quantities
    • Chapter 9 - Rational Numbers
    • Chapter 10 - Practical Geometry
    • Chapter 11 - Perimeter and Area
    • Chapter 12 - Algebraic Expressions
    • Chapter 13 - Exponents and Powers
    • Chapter 14 - Symmetry
    • Chapter 15 - Visualising Solid Shapes
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