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elect 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₹ 54,000₹ 81,000₹ 60,000₹ 90,000

Question

elect 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₹ 54,000₹ 81,000₹ 60,000₹ 90,000

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Solution

The problem can be solved in the following steps:

  1. Let's assume the total capital invested in the business is ₹100. According to the problem, A invests 33.33% of the total capital, which is ₹33.33.

  2. The remaining capital after A's investment is ₹100 - ₹33.33 = ₹66.67. B invests 25% of this remaining capital, which is 25/100 * ₹66.67 = ₹16.67.

  3. The rest of the capital is invested by C, which is ₹66.67 - ₹16.67 = ₹50.

  4. The total profit at the end of the year is ₹1,62,000. The share of each person in the profit is proportional to their investment in the capital.

  5. Therefore, A's share in the profit is (A's investment / total capital) * total profit = (₹33.33 / ₹100) * ₹1,62,000 = ₹54,000.

So, the correct answer is ₹54,000.

This problem has been solved

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