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NCERT Exemplar · Class 7 · Maths

Chapter 7: Comparing Quantities

Practice each question, then open the answer or worked solution.

Questions

70 questions
Q31Written answer

15 kg is _______ % of 50 kg.

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Worked solution

Solution:-

15 kg is 30 % of 50 kg.

Let us assume the percentage be P.

So, P% of 50 kg =15 kg

(P/100) × 50 = 15

P = (15 × 100)/50

P = 1500/50

P = 150/5

P = 30

Q32Written answer

Weight of Nikhil increased from 60 kg to 66 kg. Then, the increase in weight is _______ %.

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Solution:-

Weight of Nikhil increased from 60 kg to 66 kg. Then, the increase in weight is 10 %.

From the question it is given that, Weight of Nikhil increased from 60 kg to 66 kg.

So, weight increase = 66 – 60

= 6 kg

Then, percentage increase = (Weight increase/Initial weight) × 100%

= (6/60) × 100

= 600/60

= 60/6

= 10%

Q33Written answer

In a class of 50 students, 8 % were absent on one day. The number of students present on that day was ________.

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Solution:-

In a class of 50 students, 8 % were absent on one day. The number of students present on that day was 46.

From the question it is given that, number of students in the class = 50

Percentage of students who were absent on one day = 8%

Then, percentage of students who were present on one day = 100% – 8%

= 92%

So, 92% of 50

= (92/100) × 50

= 4600/100

= 46 students

Q34Written answer

Savitri obtained 440 marks out of 500 in an examination. She secured _______ % marks in the examination.

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Solution:-

Savitri obtained 440 marks out of 500 in an examination. She secured 88% marks in the examination.

From the question it is give that, Savitri obtained 440 marks out of 500 in an examination,

Then, percentage of marks obtained by Savitri = (440/500) × 100

= 0.88 × 100

= 88%

Q35Written answer

Out of a total deposit of ₹ 1500 in her bank account, Abida withdrew 40% of the deposit. Now the balance in her account is ______.

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Solution:-

Out of a total deposit of ₹ 1500 in her bank account, Abida withdrew 40% of the deposit. Now the balance in her account is ₹ 900.

From the question,

Total deposit in Abida’s account = ₹ 1500

Percentage of amount Abida withdrew = 40%

Then, amount withdrew = 40% of ₹ 1500

= (40/100) × 1500

= 60000/100

= ₹ 600

Then, remaining amount in the account = ₹ 1500 – ₹ 600

= ₹ 900

Q36Written answer

________ is 50% more than 60.

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Solution:-

90 is 50% more than 60.

Let us assume the number be Q.

From the question, Q is 50% more than 60

So, Q = 60 + (50/100) × 60

= 60 + (3000/100)

= 60 + 30

= 90

Q37Written answer

John sells a bat for ₹ 75 and suffers a loss of ₹ 8. The cost price of the bat is________.

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Solution:-

John sells a bat for ₹ 75 and suffers a loss of ₹ 8. The cost price of the bat is ₹ 83.

From the question it is given that, the selling price of bat ₹ 75

Loss = ₹ 8

We know that, Cost Price (CP) = SP + loss

= ₹ 75 + ₹ 8

= ₹ 83

Q38Written answer

If the price of sugar is decreased by 20%, then the new price of 3kg sugar, originally costing ₹ 120 will be

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Worked solution

Solution:-

If the price of sugar is decreased by 20%, then the new price of 3kg sugar originally costing ₹ 120 will be ₹ 96

From the question it is given that, price of 3kg sugar originally costing ₹ 120

The price of the sugar is decreased by 20%

Then, the new price of sugar = 120 – 20% of original price

= 120 – (20/100) × 120

= 120 – (2400/100)

= 120 – 24

= ₹ 96

Q39Written answer

Mohini bought a cow for ₹ 9000 and sold it at a loss of ₹ 900. The selling price of the cow is ________.

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Solution:-

Mohini bought a cow for ₹ 9000 and sold it at a loss of ₹ 900. The selling price of the cow is ₹ 8100

From the question it is given that,

Cost price of cow (CP) = ₹ 9000

Loss = ₹ 900

We know that, Selling price (SP) = CP – loss

= 9000 – 900

= ₹ 8100

Q40Written answer

Devangi buys a chair for ₹ 700 and sells it for ₹ 750. She earns a profit of ________ % in the transaction.

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Solution:-

Devangi buys a chair for ₹ 700 and sells it for ₹ 750. She earns a profit of
NCERT Exemplar Class 7 Maths Solutions Chapter 7 Image 5% in the transaction.

From the question it is given that, cost price of chair = ₹ 700

As we know that, Profit = SP – CP

= 750 – 700

= ₹ 50

Then, Profit percentage = (profit/CP) × 100%

= (50/700) × 100

=
NCERT Exemplar Class 7 Maths Solutions Chapter 7 Image 6%