1. Convert 0.45 to a percentage.
- A45%
- B4.5%
- C0.45%
- D450%
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Answer: A) 45%
Decimal to percent: shift two places right. 0.45 becomes 45%.
Class 7 Comparing Quantities — practice questions with answers
Comparing Quantities · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. A trader buys a fan for ₹900 and sells it for ₹990. Find his profit.
- A90
- B99
- C180
- D81
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Answer: A) 90
Profit = SP − CP = 990 − 900 = ₹90.
3. A number is increased by 25%. By what percentage must the new number be decreased to get back the original number?
- A20%
- B25%
- C30%
- D15%
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Answer: A) 20%
Take 100. Increased by 25% gives 125. To return to 100, decrease = 25 out of 125 = .
4. On Monday 8% of a school's students were absent and 276 students were present. How many students are on the school roll?
- A3450
- B298
- C300
- D254
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Answer: C) 300
The 276 is the PRESENT students, and present = 100% − 8% = 92% of the roll. So , giving . Check: 8% of 300 = 24 absent, leaving 276 present. The big trap is 3450, which divides by the 8% that were absent — match the percentage to the number it actually describes. 298 comes from adding 8% of 276 back on, and 254 from taking 92% of 276.
5. Class 7A has 50 students and Class 7B has 40 students. On a field trip 44% of 7A and 55% of 7B took part. How many students took part altogether?
- A99
- B49.5
- C39.6
- D44
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Answer: D) 44
Work out each class separately, because the two percentages are taken of different totals. 44% of 50 = ; 55% of 40 = . Altogether 22 + 22 = 44 students. The trap in 99 is adding the percentages (44 + 55) — percentages of different quantities can never simply be added. 49.5 and 39.6 apply just one of the rates to the combined 90 students.
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