Question
A and B start a business by investing Rs 24,000 and Rs
18,000 respectively. After 6 months, A withdraws one-fourth of his capital, and B adds Rs 6,000 more to his capital. If the total profit at the end of the year is Rs 32,000, what is B’s share of profit?Solution
ATQ, A’s capital: First 6 months: 24,000 After 6 months, he withdraws 1/4: remaining = 24,000 × (3/4) = 18,000 A’s capital–month: = 24,000 × 6 + 18,000 × 6 = 1,44,000 + 1,08,000 = 2,52,000 B’s capital: First 6 months: 18,000 Then he adds 6,000 → new capital = 24,000 for last 6 months B’s capital–month: = 18,000 × 6 + 24,000 × 6 = 1,08,000 + 1,44,000 = 2,52,000 Ratio of A : B = 2,52,000 : 2,52,000 = 1 : 1 So B’s share of profit = 32,000 × 1/2 = Rs 16,000
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