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Percentages — PYPs

2 solved Percentages previous year questions (PYQs) from past year papers — attempt each and check the answer.

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Q1:jipmat 2025QAPercentagesMediumQA · MCQ
Match the LIST-I with LIST-II. LIST-I A. 60% of 264 B. 60% of 28% of 240 C. 85% of 485.5 D. 550% of 250 LIST-II I. 20% of 6875 II. 50% of 825.35 III. 15% of 1056 IV. 8.4% of 480 Choose the correct answer from the options given below:
  • AA-II, B-IV, C-III, D-I
  • BA-II, B-III, C-I, D-IV
  • CA-III, B-IV, C-I, D-II
  • DA-III, B-IV, C-II, D-I
Pick an option to attempt
Don't evaluate all eight - start with the entry that is quickest to compute and let elimination do the rest. D is the cleanest: 550%×250=550×250100=55×25=1375550\% \times 250 = \frac{550 \times 250}{100} = 55 \times 25 = 1375. Scanning List-II, I gives 20%×6875=68755=137520\% \times 6875 = \frac{6875}{5} = 1375. So D-I, which already eliminates Options 2 and 3. A is the next easy one: 0.6×264=158.40.6 \times 264 = 158.4. In List-II, III gives 15%×105615\% \times 1056 - split it as 10%=105.610\%=105.6 plus 5%=52.85\%=52.8, total 158.4158.4. So A-III, and that settles it as Option 4. The remaining two confirm it: B: 0.6×0.28×240=40.320.6 \times 0.28 \times 240 = 40.32, matching IV: 0.084×480=40.320.084 \times 480 = 40.32. C: 0.85×485.5=412.6750.85 \times 485.5 = 412.675, matching II: 0.5×825.35=412.6750.5 \times 825.35 = 412.675. Hence A-III, B-IV, C-II, D-I - Option 4.
Q2:jipmat 2025QAPercentagesEasyQA · MCQ
Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?
  • A60.50%
  • B64%
  • C62.50%
  • D60%
Pick an option to attempt
The Setup: This is a classic percentage chain. The easiest way to not fumble the bag is to anchor one of the variables to 100100 and let the rest fall into place. Step 1: Let B be the anchor. We set B=100B=100. A is 40%40\% less than B. So, A=10040=60A=100-40=60. Step 2: Find the value of C based on A and B. C is 40%40\% of the sum of A and B. Sum=60+100=160\text{Sum}=60+100=160. C=0.40×160=64C=0.40 \times 160=64. Step 3: Find the difference between A and B. Difference=BA=10060=40\text{Difference}=B-A=100-60=40. Step 4: Calculate what percentage this difference is of C. Percentage=DifferenceC×100\text{Percentage}=\frac{\text{Difference}}{C} \times 100 Percentage=4064×100\text{Percentage}=\frac{40}{64} \times 100 Simplify the fraction by dividing by 8: 58\frac{5}{8}. Since 18=12.5%\frac{1}{8}=12.5\%, then 58=5×12.5%=62.5%\frac{5}{8}=5 \times 12.5\%=62.5\%. Final Answer: 62.50%

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