Question
Amit and Anil started a business together such that
Amit’s investment is Rs. 2,000 more than Anil’s. Anil left the business after 6 months. If the ratio of their profit shares at the end of 12 months is 11:6, find Amit’s investment.Solution
ATQ, Let the investment of Anil be Rs. 'p'.
Investment of Amit = Rs. (p + 2,000)
Ratio of profit shares of Amit and Anil respectively = [(p + 2,000) × 12] : [p × 6]
So, (12p + 24,000) : 6p = 11 : 6
Or, 72p + 1,44,000 = 66p
Or, 6p = 1,44,000
Or, 'p' = 24,000
Therefore, required investment = 24,000 + 2,000 = Rs. 26,000
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