arithmetic - x and y started a business together if x invested rs 16000 for 8 months and y invested some amount in the business for 4 months if y claims 27 of the total profit earned how much money was invested by y - skillgun

Let the total profit be Rs. x. Then, Y = 2x/7 and A = x - 2x/7 = 5x/7
So, X : Y = 5x/7 : 2x/7 = 5 : 2
Let Y’s capital be Rs. y.
Then,
=> 16000 x 8 / (y x 4) = 5/2
=> y = 16000 x 8 x 2 /(5 x 4)
= 12800.