Three partners A, B and C entered into a business. A invested one-third of the capital for one-third duration. B invested one-fourth of the capital for one-fourth duration. C invested the remaining capital for the whole duration. Out of a profit of ₹ 17,000, how much profit will C get?
- (a) ₹ 12,000 ✓ UPSC's answer
- (b) ₹ 10,000
- (c) ₹ 12,500
- (d) ₹ 10,750
Why the answer is (a)
• Profit is shared in the ratio capital × time.
• A: 1/3 × 1/3 = 1/9. B: 1/4 × 1/4 = 1/16. C invests the rest, 1 − 1/3 − 1/4 = 5/12, for the whole time: 5/12.
• Multiply by 144: A : B : C = 16 : 9 : 60, total 85.
• C's share = 60/85 × 17,000 = ₹12,000: (a).
Why the other options are wrong
- (b) ₹ 10,000
- ₹10,000 does not match C's share of 60/85.
- (c) ₹ 12,500
- ₹12,500 does not match C's share of 60/85.
- (d) ₹ 10,750
- ₹10,750 does not match C's share of 60/85.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2026, held on 24 May 2026. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.