Question
A invests Rs 12,000 in a business for 12 months. B joins
the business later and invests for 9 months. At the end of the year, the total profit is Rs 26,000 out of which B’s share is Rs 13,000. What was B’s investment?Solution
Profit sharing is proportional to (capital × time). A: 12,000 × 12 = 1,44,000 Let B's investment be x → B: x × 9 = 9x Profit ratio A : B = 1,44,000 : 9x Given total profit = 26,000 and B's share = 13,000 → A's share = 13,000 So profit ratio A : B = 13,000 : 13,000 = 1 : 1 Thus 1,44,000 = 9x x = 1,44,000 ÷ 9 = 16,000
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