Three friends, 'X', 'Y', and 'Z', invest money in the ratio 3:2:5 for 4 months, 6 months, and 8 months respectively. If they earn a total profit of Rs. 360, find the share of 'Z' in the profit.
ATQ, Let the investments of 'X', 'Y', and 'Z' be Rs. '3a', Rs. '2a', and Rs. '5a', respectively. Let the time periods of investments of 'X', 'Y', and 'Z' be '4t' months, '6t' months, and '8t' months, respectively. So, the ratio of profit shares of 'X', 'Y', and 'Z' is: = (3a * 4t) : (2a * 6t) : (5a * 8t) = 12at : 12at : 40at = 3 : 3 : 10 Therefore, the profit share of 'Z' = (10/16) * 360 = Rs. 225.
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