Question
A, B and C started a business. A invested Rs. 48000 for
12 months, B invested Rs. 60000 for 8 months and C invested Rs. 72000 for 6 months. If the total profit at the end of the year is Rs. 55800, what is C's share in the profit?Solution
ATQ, A's capital-time = 48000 × 12 = 576000 B's capital-time = 60000 × 8 = 480000 C's capital-time = 72000 × 6 = 432000 Ratio = 576000 : 480000 : 432000 Divide by 48000 = 12 : 10 : 9 Total ratio = 31 C's share = (9/31) × 55800 = 16200 Hence, the correct answer is Rs. 16200.
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