4. **4 is 2% of 200**, not 2.5%. The missing 0.5% of 200 adds 1 more.

3. **3 is 1.5% of 200.** Each 1% of 200 is 2, so 2.5% must be 5.

1. **1 is 0.5% of 200**, a fifth of the 2.5% asked.

SSC CGL 2025 Tier-I · 15 September 2025, Shift 3 · Quantitative Aptitude · Question 25 of 100

We transcribed this text from the pictures on a candidate's response sheet for this shift; the answer is the key SSC colour-marked on that sheet. Solution last reviewed 11 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. From 2025 the candidate response sheet prints every question and option as a picture, so the text here is transcribed from those pictures for this shift and checked against them independently; where the layout carries meaning, the picture is shown as well. Each answer is the key SSC colour-marked on that sheet. SSC released a tentative key for challenge and later its final one, both only to candidates behind a login, and the sheet does not say which of the two it carries. The solutions are written by UnlockIAS.

2.5% of 200 = ?

(a)5
(b)4
(c)3
(d)1

Answer

Why

Correct — A. A percentage counts hundredths, so find 1% first.

1% of 200: 200 ÷ 100 = 2
2.5% of 200: 2.5 × 2 = 5 → option (a)

Why the others are wrong

(b)
4 — 4 is 2% of 200, not 2.5%. The missing 0.5% of 200 adds 1 more.
(c)
3 — 3 is 1.5% of 200. Each 1% of 200 is 2, so 2.5% must be 5.
(d)
1 — 1 is 0.5% of 200, a fifth of the 2.5% asked.

Concept

x% of N = x × N ⁄ 100. So 2.5% of 200 = 2.5 × 200 ⁄ 100 = 500 ⁄ 100 = 5.

The two numbers can be swapped: x% of y = y% of x. Here 2.5% of 200 = 200% of 2.5 = 2 × 2.5 = 5, the easier way round.

Key facts

x% of N = x × N ⁄ 100.
x% of y = y% of x.
1% of 200 is 2, so any percentage of 200 is double the percentage figure.

Study next

Fractional percentages as fractions: 12½% = 1⁄8, 37½% = 3⁄8, 66⅔% = 2⁄3Finding the whole when a percentage and its value are givenSuccessive percentage changes on one base

Common traps

Writing 2.5% as 0.25 instead of 0.025, which gives 50.
Dividing instead of multiplying: 200 ÷ 2.5 = 80.

Percentages of round numbers are chained at 15 Sep 2025, 12:30, Quant Q.7: 80% of 350 − 37½% of 160 + 11% of 500 = 280 − 60 + 55 = 275.

At 12 Sep 2025, 16:00, Quant Q.11, 12½% of 560 km + 66⅔% of 240 km = 70 + 160 = 230 km.

Related PYQs

No directly related past PYQ was found.

Topic: Percentage — all 66 SSC CGL questions on it, every solved shift.