Multiple choice

A, B and C invested Rs. 27,000, Rs. 18,000 and Rs. 45,000, respectively. In the total profit, each one takes the amount equal to 10% of their capitals and the remaining profit is shared among them in proportion of their capitals. Find the share of B and C together in the total profit of Rs. 57,000.

  1. Rs. 14,000

  2. Rs. 33,600

  3. Rs. 19,600

  4. Rs. 39,900

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total capital = 27000 + 18000 + 45000 = 90000. Each takes 10% of their capital: A=2700, B=1800, C=4500 (Total 9000). Remaining profit = 57000 - 9000 = 48000. This is shared in ratio 27:18:45, which is 3:2:5. B's share = 1800 + (2/10 * 48000) = 1800 + 9600 = 11400. C's share = 4500 + (5/10 * 48000) = 4500 + 24000 = 28500. B+C = 11400 + 28500 = 39900.

AI explanation

The total capital ratio of A to B to C is 27000 to 18000 to 45000, which simplifies to 3 to 2 to 5. The sum of these ratio parts is 10, so the total capital of the firm corresponds to 10 parts. The combined capital ratio of B and C represents 7 parts out of the total 10 parts, meaning they hold 70 percent of the total capital. To find their share in the total profit of 57000, you calculate 70 percent of 57000, which is 0.7 multiplied by 57000 to equal 39900.

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