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 A?

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First deduct the two salaries from the total profit, then split only what remains in the ratio of capitals.
Updated On: Jul 20, 2026
  • Rs. 2,300
  • Rs. 3,900
  • Rs. 6,900
  • Rs. 8,400
  • Rs. 12,300
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The Correct Option is C

Solution and Explanation

A convenient way to handle this is to work out what fraction of the total profit A finally ends up with, and then apply that fraction directly to Rs. 27,000.

A's salary is a flat 10% of the total profit, so that part alone is $0.10 \times 27000 = 2700$.

For the leftover profit, first figure out what fraction of the total profit remains after both salaries are paid. B takes 20%, so together the salaries consume $10\% + 20\% = 30\%$ of the profit, leaving $70\%$ of 27,000, i.e. $0.70 \times 27000 = 18900$, to be split by capital.

The capitals 6000, 9000 and 12000 simplify to the ratio $2:3:4$, so A's portion of this leftover $70\%$ pool is $\frac{2}{9}$ of 18900:
$\frac{2}{9} \times 18900 = 4200$

Adding the salary and the capital-based share gives A's total earnings:
$2700 + 4200 = 6900$

So A receives $\boxed{Rs.\ 6,900}$, confirming option (c).
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