SSC CGL 2025 Tier-I · 12 September 2025, Shift 2 · Quantitative Aptitude · Question 5 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 13 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.

A and B contribute to a business investment in the ratio 3:5. They earn a profit of ₹64,000. A is a working partner and receives 10% of the profit extra. What is A’s total share?

(a)₹26,500
(b)₹28,000
(c)₹38,500
(d)₹36,000

Answer

Why

Correct — B. Take A's working-partner extra out first, then split the rest 3 : 5.

Extra to A = 10% of 64,000 = ₹6,400
Remaining profit = 64,000 − 6,400 = ₹57,600

A's capital share = 3⁄8 × 57,600 = ₹21,600
A's total = 21,600 + 6,400 = ₹28,000 → option (b)

Check: B gets 5⁄8 × 57,600 = ₹36,000, and 28,000 + 36,000 = 64,000.

Why the others are wrong

(a)
₹26,500 — ₹26,500 matches none of the working. A's plain 3⁄8 share of ₹64,000 is ₹24,000, and even adding 10% of that share gives ₹26,400, not ₹26,500.
(c)
₹38,500 — ₹38,500 is beyond even the most generous reading: 3⁄8 of the full ₹64,000 plus the whole ₹6,400 extra is ₹30,400. A holds just 3 of the 8 parts.
(d)
₹36,000 — ₹36,000 is B's share, 5⁄8 of the ₹57,600 left after A's extra. The question asks for A's total: ₹21,600 plus ₹6,400.

Concept

A working partner earns an extra for managing the business on top of the return on capital.

The working that reaches the key takes that extra out of the total profit first, divides the remainder in the capital ratio, and then adds the extra back to the working partner's share.

Here the extra is 10% of the whole profit, so it is ₹6,400.

The stem does not say whether the 10% comes out before the split.

Read instead as a bonus on top of a full 3⁄8 share, A would get 24,000 + 6,400 = ₹30,400, which is not among the options. The options and the key fit the off-the-top reading.

Key facts

A working partner's extra comes out of the total profit before the capital split.
3⁄8 of ₹57,600 is ₹21,600, and 5⁄8 of it is ₹36,000.
The shares must add back to the whole profit: 28,000 + 36,000 = 64,000.

Study next

Partnership where interest on capital is paid before the profit is splitPartnership with different investment periods (capital × months)

Common traps

Splitting the full ₹64,000 in 3 : 5 and then adding the ₹6,400, which pays the extra out of money already shared.
Answering with ₹36,000, B's share, after doing the split correctly.

The same off-the-top structure appears at 21 Sep 2025, 16:00, Quant Q.7 (A takes 10% for managing and the remaining ₹90,000 is split by capital) and at 13 Sep 2025, 12:30, Quant Q.6 (A receives an extra 20% for management).

Related PYQs

No directly related past PYQ was found.

Topic: Profit and Loss — all 87 SSC CGL questions on it, every solved shift.