arithmetic - gaurav and aditya are partners in a business gaurav contributes 14th capital for 15 months and aditya received 23 of profit for how long aditya money was used - skillgun

Let the total profit be Rs. Z
Aditya's share = (2/3)Z
Gaurav's Share = Z-(2/3)Z = Z/3
Gaurav:Aditya = Z/3:(2/3)Z = 1:2
Now let the total capital be Rs X, and Aditya capital was used for Y months
then, Gaurav capital will be (1/4)X and Aditya capital wil be
X-(1/4)X = 3X/4
(1/4X**15)/ (3/4X**Y)=1/2
Y=15**2/3=10
So Aditya's money was used for 10 months