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Select the correct answerA, B and C start a business. A invest 33.33% of the total capital, B invest 25% of the remaining and C invests the rest. If the total profit at the end of a year is ₹1,62,000, then A’s share in profit is?Options₹ 90,000₹ 60,000₹ 54,000₹ 81,000

Question

Select the correct answerA, B and C start a business. A invest 33.33% of the total capital, B invest 25% of the remaining and C invests the rest. If the total profit at the end of a year is ₹1,62,000, then A’s share in profit is?Options₹ 90,000₹ 60,000₹ 54,000₹ 81,000

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Solution

To solve this problem, we need to understand how the profit is distributed among A, B, and C. The profit is distributed according to the ratio of their investments.

Step 1: Let's assume the total capital is 100 units.

Step 2: According to the problem, A invests 33.33% of the total capital. So, A's investment is 33.33 units.

Step 3: The remaining capital after A's investment is 100 - 33.33 = 66.67 units.

Step 4: B invests 25% of the remaining capital, which is 25% of 66.67 units = 16.67 units.

Step 5: C invests the rest of the capital, which is 66.67 units - 16.67 units = 50 units.

Step 6: The ratio of A, B, and C's investments is 33.33 : 16.67 : 50.

Step 7: The total profit at the end of the year is ₹1,62,000. This profit is distributed among A, B, and C according to the ratio of their investments.

Step 8: To find A's share in the profit, we divide A's investment by the total investment and multiply by the total profit.

A's share = (33.33 / (33.33 + 16.67 + 50)) * 1,62,000 = ₹54,000.

So, the correct answer is ₹ 54,000.

This problem has been solved

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