Question
A, B, and C invested ₹50,000, ₹70,000, and
₹80,000, respectively, to start a business. At the end of the year, the profit was ₹60,000. If A withdrew ₹10,000 after 6 months, what is A’s share of the profit?Solution
A's capital for the first 6 months = ₹50,000 A's capital for the next 6 months = ₹40,000 B's and C’s capitals remain constant. Effective capital of A = (50,000 × 6) + (40,000 × 6) = ₹5,40,000 Effective capital of B = 70,000 × 12 = ₹8,40,000 Effective capital of C = 80,000 × 12 = ₹9,60,000 Ratio of capitals = 5,40,000 : 8,40,000 : 9,60,000 = 9 : 14 : 16 A’s share of profit = (9/39) × 60,000 = ₹13,846.15 Correct Option: c)
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