CBSE Class 7 Mathematics Percentage MCQs Set 20

Mathematics Objective Questions and Answers: Chapter 08 Comparing Quantities

Access targeted multiple-choice questions for Chapter 08 Comparing Quantities designed to align with the latest CBSE academic syllabus for Class 7 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.

Download Chapter 08 Comparing Quantities MCQs with Answers

Navigate directly to the 50 objective questions for Chapter 08 Comparing Quantities using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: In a class of 50 students, 15 like cricket. The percentage who like cricket is:
(a) 30%
(b) 15%
(c) 35%
(d) 25%
Show Answer & Explanation

Answer: (a) 30%

Explanation:
1. 15/50 × 100 = 30%.

Teacher's Note:
1. Percentage = part ÷ whole × 100.
2. Total is 50.

Question 2: The fraction 42.5% in lowest terms is:
(a) \( \frac{17}{20} \)
(b) \( \frac{425}{100} \)
(c) \( \frac{17}{50} \)
(d) \( \frac{17}{40} \)
Show Answer & Explanation

Answer: (d) \( \frac{17}{40} \)

Explanation:
1. 42.5% = 42.5/100 = 425/1000.
2. Divide by 25: 17/40.

Teacher's Note:
1. Remove the decimal by multiplying numerator and denominator by 10.
2. Divide by 25 to simplify.

Question 3: As a decimal, 0.38% equals:
(a) 0.38
(b) 0.038
(c) 0.0038
(d) 3.8
Show Answer & Explanation

Answer: (c) 0.0038

Explanation:
1. 0.38% = 0.38/100 = 0.0038.

Teacher's Note:
1. Divide by 100 to change a percentage into a decimal.
2. Move the decimal point two places left.

Question 4: A car costing Rs. 3,50,000 rises in price to Rs. 3,70,000. The percentage increase is:
(a) \( 5\% \)
(b) \( 5\frac{5}{7}\% \)
(c) \( 6\% \)
(d) \( 5\frac{1}{7}\% \)
Show Answer & Explanation

Answer: (b) \( 5\frac{5}{7}\% \)

Explanation:
1. Change = 370000 - 350000 = 20000.
2. Percentage increase = 20000 ÷ 350000 × 100 = 40/7 = 5 5/7 %.

Teacher's Note:
1. Percentage increase = change ÷ original × 100.
2. The original value is the base.

Question 5: 15% of 250 is:
(a) 37.5
(b) 375
(c) 25
(d) 35
Show Answer & Explanation

Answer: (a) 37.5

Explanation:
1. 15/100 × 250 = 37.5.

Teacher's Note:
1. Convert the percentage to a fraction and multiply.
2. 15% = 0.15.

Question 6: 1% of 1 hour is:
(a) 60 seconds
(b) 6 minutes
(c) 3.6 seconds
(d) 36 seconds
Show Answer & Explanation

Answer: (d) 36 seconds

Explanation:
1. 1 hour = 3600 seconds, and 1% of 3600 = 36 seconds.

Teacher's Note:
1. Convert to seconds first.
2. 1% means one hundredth.

Question 7: The population of a city falls from 25,000 to 24,500. The percentage decrease is:
(a) 0.5%
(b) 5%
(c) 2%
(d) 20%
Show Answer & Explanation

Answer: (c) 2%

Explanation:
1. Decrease = 500; 500/25000 × 100 = 2%.

Teacher's Note:
1. Percentage decrease = decrease ÷ initial value × 100.
2. Take the initial population as the base.

Question 8: In a city 30% are females and 40% are males; the rest are children. The percentage of children is:
(a) 70%
(b) 30%
(c) 20%
(d) 40%
Show Answer & Explanation

Answer: (b) 30%

Explanation:
1. 100 - 30 - 40 = 30%.

Teacher's Note:
1. The whole population is 100%.
2. Subtract the known shares.

Question 9: Chalk contains calcium, carbon and oxygen in the ratio 10 : 3 : 12. The percentage of carbon in chalk is:
(a) 12%
(b) 3%
(c) 30%
(d) 25%
Show Answer & Explanation

Answer: (a) 12%

Explanation:
1. Total parts = 25; carbon is 3/25 = 12%.

Teacher's Note:
1. Add the parts to get the total.
2. Percentage = part ÷ total × 100.

Question 10: In the chalk of the previous question the carbon weighs 3 g. The weight of the chalk is:
(a) 12 g
(b) 30 g
(c) 75 g
(d) 25 g
Show Answer & Explanation

Answer: (d) 25 g

Explanation:
1. 3 g is 3 parts of 25, so the whole stick weighs 3 × 25 ÷ 3 = 25 g.

Teacher's Note:
1. Each part weighs 1 g.
2. Total parts are 25.

Question 11: 15 cm expressed as a percentage of 3 m is:
(a) 50%
(b) 0.5%
(c) 5%
(d) 20%
Show Answer & Explanation

Answer: (c) 5%

Explanation:
1. 3 m = 300 cm, and 15/300 × 100 = 5%.

Teacher's Note:
1. Convert both quantities to the same unit.
2. Then use part ÷ whole × 100.

Question 12: 33.6 g expressed as a percentage of 80 g is:
(a) 4.2%
(b) 42%
(c) 40%
(d) 45%
Show Answer & Explanation

Answer: (b) 42%

Explanation:
1. 33.6/80 × 100 = 42%.

Teacher's Note:
1. Divide the part by the whole and multiply by 100.
2. 33.6 ÷ 80 = 0.42.

Question 13: The value of 3 1/8 % of 64 kg is:
(a) 2 kg
(b) 20 kg
(c) 0.2 kg
(d) 3 kg
Show Answer & Explanation

Answer: (a) 2 kg

Explanation:
1. 3 1/8 % = 25/8 %.
2. (25/8) ÷ 100 × 64 = 2 kg.

Teacher's Note:
1. Convert the mixed number to an improper fraction.
2. 1/8 of 25 = 25/8.

Question 14: A person donates 6% of his total savings, Rs. 15,00,000, to a relief fund and divides the rest equally between his son and daughter. The daughter receives:
(a) Rs. 90,000
(b) Rs. 14,10,000
(c) Rs. 7,50,000
(d) Rs. 7,05,000
Show Answer & Explanation

Answer: (d) Rs. 7,05,000

Explanation:
1. Donation = 6% of 15,00,000 = 90,000.
2. Remainder = 15,00,000 - 90,000 = 14,10,000.
3. Daughter's share = 14,10,000 ÷ 2 = 7,05,000.

Teacher's Note:
1. Find the donation first.
2. Split the remainder into two equal parts.

Question 15: Out of an income of Rs. 15,000, Hardik spends Rs. 10,200. The percentage of income he saves is:
(a) 68%
(b) 30%
(c) 32%
(d) 28%
Show Answer & Explanation

Answer: (c) 32%

Explanation:
1. Saving = 4800, and 4800/15000 × 100 = 32%.

Teacher's Note:
1. Saving = income - expenditure.
2. Percentage is taken on the income.

Question 16: The population of India is 113 crore and increases by 1.7% in a year. The population after one year is:
(a) 113.017 crore
(b) 114.921 crore
(c) 130.1 crore
(d) 115.7 crore
Show Answer & Explanation

Answer: (b) 114.921 crore

Explanation:
1. Increase = 1.7% of 113 = 1.921 crore, so the new population is 114.921 crore.

Teacher's Note:
1. New value = old value + increase.
2. Do not forget to add the increase.

Question 17: A trader buys 10 quintals of wheat for Rs. 8,750 and sells it at Rs. 11.50 per kg. His profit is:
(a) Rs. 2,750
(b) Rs. 11,500
(c) Rs. 3,250
(d) Rs. 2,250
Show Answer & Explanation

Answer: (a) Rs. 2,750

Explanation:
1. 10 quintals = 1000 kg.
2. S.P. = 1000 × 11.50 = 11,500.
3. Profit = 11,500 - 8,750 = 2,750.

Teacher's Note:
1. 1 quintal = 100 kg.
2. Profit = S.P. - C.P.

Question 18: A girl buys 12 packets of pencils (10 pencils each) for Rs. 156 and sells all the pencils at Rs. 2 each. Her profit is:
(a) Rs. 240
(b) Rs. 156
(c) Rs. 96
(d) Rs. 84
Show Answer & Explanation

Answer: (d) Rs. 84

Explanation:
1. Number of pencils = 12 × 10 = 120.
2. S.P. = 120 × 2 = 240.
3. Profit = 240 - 156 = 84.

Teacher's Note:
1. There are 120 pencils in all.
2. Profit = S.P. - C.P.

Question 19: Bela buys a car for Rs. 89,000, spends Rs. 21,000 on repairs and sells it for Rs. 1,10,000. She has:
(a) a profit of Rs. 21,000
(b) a loss of Rs. 21,000
(c) neither profit nor loss
(d) a profit of Rs. 1,000
Show Answer & Explanation

Answer: (c) neither profit nor loss

Explanation:
1. Total C.P. = 89,000 + 21,000 = 1,10,000 = S.P.

Teacher's Note:
1. Overhead expenses are added to the cost price.
2. Compare total C.P. with S.P.

Question 20: C.P. = Rs. 500 and S.P. = Rs. 600. The profit percent is:
(a) 10%
(b) 20%
(c) 16 2/3 %
(d) 120%
Show Answer & Explanation

Answer: (b) 20%

Explanation:
1. Profit = 100; 100/500 × 100 = 20%.

Teacher's Note:
1. Profit percent is always calculated on C.P.
2. Profit = 600 - 500 = 100.

Question 21: C.P. = Rs. 600 and S.P. = Rs. 500. The loss percent is:
(a) \( 16\frac{2}{3}\% \)
(b) \( 20\% \)
(c) \( 15\% \)
(d) \( 12\frac{1}{2}\% \)
Show Answer & Explanation

Answer: (a) \( 16\frac{2}{3}\% \)

Explanation:
1. Loss = 100; 100/600 × 100 = 50/3 = 16 2/3 %.

Teacher's Note:
1. Loss percent is calculated on C.P.
2. Loss = 600 - 500 = 100.

Multiple Choice Questions (MCQs) for Class 7 Mathematics Chapter 08 Comparing Quantities

Download Multiple Choice Questions: Chapter 08 Comparing Quantities (Class 7 Mathematics)

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FAQs

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