Civil Services Prep

Prelims 2026 · CSAT / Quantitative Aptitude · Question 78

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?<br/>

  1. ₹ 12,000
  2. ₹ 10,000
  3. ₹ 12,500
  4. ₹ 10,750

Answer

₹ 12,000

Profit share is proportional to capital × time.
A: (1/3)×(1/3)=1/9
B: (1/4)×(1/4)=1/16
C: remaining capital = 1-(1/3+1/4)=5/12, for full time = 5/12
So ratio = 1/9 : 1/16 : 5/12 = 16 : 9 : 60.
Total parts = 85, so C gets (60/85)×17000 = 12000.

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