"M" initiated a business with an investment of Rs. 21,000. Subsequently, after a certain number of months, "N" entered the partnership by contributing Rs. 25,500. At the conclusion of 20 months, the total profit amounted to Rs. 3,630, out of which "M" received Rs. 2,100. How many months after "M" started the business did "N" join?
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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