SSC CGL 2025 Tier-I · 16 September 2025, Shift 2 · Quantitative Aptitude · Question 4 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.

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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, B, and C invested ₹24,000, ₹36,000, and ₹40,000 respectively. A's investment was for 12 months, B's for 8 months, and C's for 6 months. The total profit is ₹50,000. What is B’s share of the profit?

(a)₹17,647.06
(b)₹27,647.56
(c)₹23,647.46
(d)₹21,647.72

Answer

Why

Correct — A. Profit is shared in the ratio of capital × months.

A: 24,000 × 12 = 2,88,000
B: 36,000 × 8 = 2,88,000
C: 40,000 × 6 = 2,40,000

Divide each by 48,000: 6 : 6 : 5, a total of 17 parts
B's share: 6⁄17 × 50,000 = 3,00,000⁄17
= 17,647.0588… ≈ ₹17,647.06 → option (a)

Why the others are wrong

(b)
₹27,647.56 — ₹27,647.56 is more than half of ₹50,000. A has the same 2,88,000 capital-months as B, so B can never exceed half, and C's share pushes it lower still.
(c)
₹23,647.46 — If B got ₹23,647.46, so would A (equal capital-months), leaving C just ₹2,705.08. Yet C's 2,40,000 capital-months are 5⁄6 of B's.
(d)
₹21,647.72 — ₹21,647.72 is about 43% of ₹50,000, but B holds 6 parts of 17, about 35.3%. 6⁄17 × 50,000 comes to ₹17,647.06.

Concept

Profit follows capital × time, not capital alone. Money kept in the business longer earns a bigger claim.

B invested more than A but for fewer months, and the two products come out equal: 36,000 × 8 = 24,000 × 12 = 2,88,000. So A and B take equal shares, 6 parts each, and C takes 5.

3,00,000 ÷ 17 does not terminate, which is why the options run to paise.

Capital alone gives 24 : 36 : 40 = 6 : 9 : 10 and a B share of ₹18,000, which is not an option. The months change the answer.

All four options end in 647 rupees, so the last digits cannot separate them. The size of the share can.

Key facts

Profit ratio = capital₁ × time₁ : capital₂ × time₂ : capital₃ × time₃.
2,88,000 : 2,88,000 : 2,40,000 reduces to 6 : 6 : 5 on dividing by 48,000.
3,00,000 ÷ 17 = 17,647.0588…, which rounds to 17,647.06.

Study next

Partnership where a partner joins late or withdraws capital midwayFinding the total profit from one partner's known shareA working partner's management fee taken before the profit is split

Common traps

Splitting in the capital ratio 6 : 9 : 10 and ignoring the months, which gives B ₹18,000.
Giving B the larger share because B put in more money than A. B's 8 months against A's 12 cancel that out exactly.

12 Sep 2025, 09:00, Quant Q.6 also has two partners with equal capital × months (80,000 × 9 = 1,20,000 × 6), so that profit splits equally.

15 Sep 2025, 16:00, Quant Q.5 gives a non-terminating share too: 5⁄11 × 40,000 = ₹18,181.82.

Related PYQs

No directly related past PYQ was found.

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