Question
‘A’ launched a business with an initial investment
of Rs. 12,000. After ‘M’ months, ‘B’ became a partner by contributing Rs. 20,000. By the end of the year, the total profit was Rs. 6,100, out of which ‘B’ received Rs. 2,500. Determine the number of months ‘M’ after which ‘B’ joined the business.Solution
Ratio of profit shares of ‘A’ and ‘B’ = (12000 × 12):{(12 – M) × 20000} = 36:(60 – 5M) Profit share of ‘A’ = 6100 – 2500 = Rs. 3,600 ATQ; {36/(60 – 5M)} = (3600/2500) Or, 60 – 5M = 36 × (25/36) Or, 5M = 35 Or, M = 7
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