Question
Alex and Ben entered into a partnership, initially
investing in the ratio of 9:7. After 6 months, Curry joined the partnership with an investment 28.56% less than Ben's. After a few more months, Alex exited, and Dev joined with an investment (100/9)% less than Alex's. After two years, Ben claimed a share of (21/58) of the total profit. What will be the investment time of Dev.Solution
ATQ, Let Alex invests for a months so Alex  :   Ben  :   Curry   :   Dev 9a  :   7 × 24  : 5 × 18  :  8 (24 – a) [168/(450 + a)] = (21/58) 9744 = 9450 + 21a 294 = 21a a = 14 So Alex invests for 14 months and D invests for (24-14) = 10 months
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