SSC CGL 2025 Tier-I · 15 September 2025, Shift 3 · 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 11 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 invests ₹60,000 while B invests ₹90,000, with A's investment lasting for 10 months and B's for 8 months. The total profit amounts to ₹40,000. What is the A's share ?

(a)₹20,181.82
(b)₹18,181.82
(c)₹21,181.81
(d)₹22,181.82

Answer

Why

Correct — B. Share the profit in the ratio of capital × months.

A's capital × months: 60,000 × 10 = 6,00,000
B's capital × months: 90,000 × 8 = 7,20,000
Reduce (divide both by 1,20,000): 6,00,000 : 7,20,000 = 5 : 6

Total parts: 5 + 6 = 11
A's share: 5⁄11 × 40,000 = 2,00,000⁄11 = ₹18,181.82 → option (b)

Why the others are wrong

(a)
₹20,181.82 — ₹20,181.82 is more than half of ₹40,000, yet A's 6,00,000 capital-months are fewer than B's 7,20,000. A's share has to be under ₹20,000.
(c)
₹21,181.81 — ₹21,181.81 is neither partner's share. B gets 6⁄11 × 40,000 = ₹21,818.18 (21,818, not 21,181), and the question asks for A.
(d)
₹22,181.82 — ₹22,181.82 is over half the profit, which would need A to hold the larger stake. A's ₹18,181.82 and B's ₹21,818.18 are the pair that add to ₹40,000.

Concept

When partners stay for different periods, profit follows capital × months, not capital alone.

B put in more money (₹90,000 against ₹60,000) but for fewer months (8 against 10). Multiplied out, A has 6,00,000 and B 7,20,000, so B still takes the larger share, 6 parts of 11.

Capital alone gives 2 : 3 and an A share of ₹16,000. Months alone gives 10 : 8, which favours A. The product, 5 : 6, is what the profit follows.

Key facts

Profit ratio = capital₁ × time₁ : capital₂ × time₂.
6,00,000 : 7,20,000 reduces to 5 : 6 on dividing both by 1,20,000.
2,00,000 ÷ 11 = 18,181.8181…, which rounds to 18,181.82.

Study next

Finding the total profit from one partner's known sharePartnership with a mid-year withdrawal or a late joinerRecurring decimals from division by 11, such as 1⁄11 = 0.0909…

Common traps

Dividing the profit in the capital ratio 2 : 3 and ignoring the different time periods.
Computing B's ₹21,818.18 and matching it to ₹21,181.81 at a glance. The digits differ, and the question asks for A.

12 Sep 2025, 09:00, Quant Q.6 uses the same product: 80,000 × 9 = 1,20,000 × 6 = 7,20,000, so the ₹45,000 profit splits equally and B gets ₹22,500.

12 Sep 2025, 16:00, Quant Q.5 runs it backwards: 1,20,000 × 10 : 1,60,000 × 7 = 15 : 14, and B's ₹16,800 for 14 parts gives a total of ₹34,800.

Related PYQs

No directly related past PYQ was found.

Topic: Profit and Loss — all 56 SSC CGL questions on it, every solved shift.