Question:medium

A, B and C are three associates in a firm. A invests Rs. 6,000, B invests Rs. 9,000 and C invests Rs. 12,000. A and B are the working partners and get 10% and 20% of the profit respectively as their salary, and the remaining profit is distributed in the ratio of their capitals. If the profit made at the end of the year is Rs. 27,000, then what is the share of C?

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C is not a working partner, so C only receives its share of the profit that is split in the capital investment ratio.
Updated On: Jul 21, 2026
  • Rs. 2,300
  • Rs. 3,900
  • Rs. 6,900
  • Rs. 8,400
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The Correct Option is D

Solution and Explanation

Step 1: Express C's share as a fraction of total profit P.
Salary takes up 0.30P (10% to A, 20% to B), leaving 0.70P for the capital split.
Step 2: Find C's fraction of the remaining 0.70P.
Capitals are in ratio 2 : 3 : 4 (9 parts), so C's fraction of the remainder is 4/9.
C's fraction of profit = (4/9) x 0.70P = 0.3111P.
Step 3: Substitute P = Rs. 27,000.
C's share = 0.3111 x 27,000 = Rs. 8,400.\[\boxed{C's\ share = Rs.\ 8,400}\]
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