IPMAT Percentages PYQs

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

Q1:jipmat 2025QA › PercentagesMediumQA · 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: $550\% \times 250 = \frac{550 \times 250}{100} = 55 \times 25 = 1375$ . Scanning List-II, I gives $20\% \times 6875 = \frac{6875}{5} = 1375$ . So D-I, which already eliminates Options 2 and 3.

A is the next easy one: $0.6 \times 264 = 158.4$ . In List-II, III gives $15\% \times 1056$ - split it as $10\%=105.6$ plus $5\%=52.8$ , total $158.4$ . So A-III, and that settles it as Option 4.

The remaining two confirm it:
B: $0.6 \times 0.28 \times 240 = 40.32$ , matching IV: $0.084 \times 480 = 40.32$ .
C: $0.85 \times 485.5 = 412.675$ , matching II: $0.5 \times 825.35 = 412.675$ .

Hence A-III, B-IV, C-II, D-I - Option 4.

Q2:jipmat 2025QA › PercentagesEasyQA · 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

100

and let the rest fall into place. Step 1: Let B be the anchor. We set

B=100

. A is

40\%

less than B. So,

A=100-40=60

. Step 2: Find the value of C based on A and B. C is

40\%

of the sum of A and B.

\text{Sum}=60+100=160

C=0.40 \times 160=64

. Step 3: Find the difference between A and B.

\text{Difference}=B-A=100-60=40

. Step 4: Calculate what percentage this difference is of C.

\text{Percentage}=\frac{\text{Difference}}{C} \times 100

\text{Percentage}=\frac{40}{64} \times 100

Simplify the fraction by dividing by 8:

\frac{5}{8}

. Since

\frac{1}{8}=12.5\%

, then

\frac{5}{8}=5 \times 12.5\%=62.5\%

. Final Answer: 62.50%

Percentages — PYPs

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