Question
A and B started a business by investing Rs.5000 and
Rs.8000 respectively. After 4 months A withdrew 40% of his investment. If at the end of the year, profit share of B is Rs.9600, then find the profit share of A.Solution
Initial investments A = 5000 B = 8000 A’s withdrawal after 4 months A withdraws 40% of 5000 = 2000 Remaining = 5000 – 2000 = 3000 So, First 4 months: A’s capital = 5000 Next 8 months: A’s capital = 3000 Capital × time (investment units) A = (5000 × 4) + (3000 × 8) = 20000 + 24000 = 44000 B = (8000 × 12) = 96000 Ratio (A : B) = 44000 : 96000 = 11 : 24 Profit division B’s share = 9600 corresponds to 24 parts. So 1 part = 9600 ÷ 24 = 400 A’s share = 11 parts = 11 × 400 = 4400 Hence, A’s profit share = Rs. 4400
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