X and Y started a business together. X invested 1/4 of the total capital for 15 months. For how long Y’s money was used if received 2/3 rd of the total profit ?
Let the total profit be Rs. z. Then,
Y's share = Rs. 2x/3, A's share = Rs. z - 2z/3 = Rs. z/3
X : Y = z/3 : 2x/3 = 1 : 2
Let the total capital be Rs. x and suppose Y’s money was used for x months. Then,
(1x/4 x 15)/(3x/4 x y) = 1/2
y = 15 x 2/3 = 10.
Thus, Y’s money was used for 10 months.
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