Question
A, B, and C invest ₹12,000, ₹18,000, and ₹24,000,
respectively, in a business. After 4 months, A withdraws ₹4,000, and B adds ₹6,000. C withdraws ₹8,000 after 6 months. If the total profit at the end of the year is ₹1,98,000, what is B’s share of the profit?Solution
A’s investment: ₹12,000 for 4 months + ₹8,000 for 8 months = 48,000 + 64,000 = ₹1,12,000. B’s investment: ₹18,000 for 4 months + ₹24,000 for 8 months = 72,000 + 1,92,000 = ₹2,64,000. C’s investment: ₹24,000 for 6 months + ₹16,000 for 6 months = 1,44,000 + 96,000 = ₹2,40,000. Total investment ratio = A:B:C = 1,12,000:2,64,000:2,40,000 = 7:16:15. B’s share = (16/38) × 1,98,000 = ₹83,368. Correct option: c
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