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Let the number of months after which 'N' joined the business be 'y' So, ratio of profit share of 'M' to that of 'N' = (21,000 X 20) :{25,500 X (20 - y) } Profit share of 'N' = 3,630 - 2,100 = Rs. 1,530 So, (21,000 X 20) :{25,500 X (20 - y) } = 2100:1530 Or, (14 X 20) :{17 X (20 - y) } = 70:51 or, 20/(20 - y) = 5/3 Or, 20 - y = 12 So, 'y' = 20 - 12 = 8 Therefore, 'N' joined the business after 8 months.
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