A, 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₹ 60,000₹ 90,000₹ 54,000₹ 81,000
Question
A, 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₹ 60,000₹ 90,000₹ 54,000₹ 81,000
Solution
To solve this problem, we first need to understand how the total capital is divided among A, B, and C.
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A invests 33.33% of the total capital.
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B invests 25% of the remaining capital after A's investment.
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C invests the rest of the capital.
The profit at the end of the year is divided among A, B, and C in the ratio of their investments.
Let's assume the total capital is ₹100.
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A's investment = 33.33% of ₹100 = ₹33.33
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The remaining capital after A's investment = ₹100 - ₹33.33 = ₹66.67
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B's investment = 25% of ₹66.67 = ₹16.67
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The remaining capital after B's investment = ₹66.67 - ₹16.67 = ₹50
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C's investment = ₹50
So, the ratio of A, B, and C's investments is 33.33:16.67:50.
The total profit at the end of the year is ₹1,62,000.
A's share in the profit = (A's investment / Total investment) * Total profit
= (33.33 / 100) * ₹1,62,000
= ₹54,000
So, A's share in the profit is ₹54,000.
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