UPSC Prelims 2026 · CSAT Paper 2 · Set DMathematicsQ 58 / 80

UPSC Prelims 2026 CSAT Paper 2 — Question 58

Question

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
(b)₹10,000
(c)₹12,500
(d)₹10,750

UnlockIAS answer: (a)₹12,000

Solution

Profit weights (capital × time): A = 1/3 × 1/3 = 1/9, B = 1/4 × 1/4 = 1/16, C = 5/12 × 1 = 5/12. In a common denominator (144) these are 16 : 9 : 60. C's share = (60/85) × 17,000 = ₹12,000.

UnlockIAS expert key, prepared 24 May 2026 and cross-verified by re-deriving the answer — this is our key, not the official UPSC provisional key (awaited).

Section

Mathematics

Topic Reference

Numeracy — Partnership

Official UPSC key still awaited

UPSC has announced (PIB Release 2262441, 18 May 2026) that the provisional answer key for CSE Prelims 2026 will be released “soon after Exam”. Until then, use the CSAT score calculator for your qualifying-status estimate, and join the per-question discussion below.

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Official Notification

PIB Release 2262441

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