arithmetic - x and y started a business together x invested 14 of the total capital for 15 months for how long ys money was used if received 23 rd of the total profit - skillgun

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.