Question
Deepa, Eshan and Farah invest Rs. x, Rs. (x + 3000) and
Rs. 5x, respectively. After 9 months, Deepa and Farah withdraw their money. If the annual profit is Rs. (132x + 72000), find Eshan’s share of profit.Solution
Ratio of profit shares (capital × time): = (9 × x) : (12 × (x + 3000)) : (9 × 5x) = 9x : (12x + 36000) : 45x = 3x : (4x + 12000) : 15x So, Eshan’s profit share = (4x + 12000) / (3x + (4x + 12000) + 15x) × (132x + 72000) = (4x + 12000) / (22x + 12000) × (132x + 72000) = 4(x + 3000) / (22x + 12000) × 6(22x + 12000) = Rs. 24(x + 3000)
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