Question
'X' invested Rs. 32,000 to start a business. After 4
months, 'Y' joined with Rs. 48,000. 'X', being an active partner, received 25% of the total annual profit as an incentive. The remaining profit was distributed based on their capital share. If the total profit at the year-end was Rs. 24,000, find the share of 'X'.Solution
Ratio of profit share of 'X' to that of 'Y' = (32,000 × 12) : (48,000 × 8) = 384,000 : 384,000 = 1:1 25% of total profit = 0.25 × 24,000 = Rs. 6,000 Remaining profit = 24,000 - 6,000 = Rs. 18,000 Profit share of 'X' = 6,000 + (1 / (1+1)) × 18,000 = 6,000 + (1/2) × 18,000 = 6,000 + 9,000 = Rs. 15,000
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