A puts Rs 600 more in a business than B, but B has invested his capital for 5 months while A has invested his for 4 months. If the share of A is Rs.48 more than that of B out of the total profits of Rs.528, find the capital contributed by each?

A puts Rs 600 more in a business than B, but B has invested his capita

1.	A puts Rs 600 more in a business than B, but B has invested his capital for 5 months while A has invested his for 4 months. If the share of A is Rs.48 more than that of B out of the total profits of Rs.528, find the capital contributed by each?
Answer» Let `B` invests `x` rupees. Then, amount invested by `A` is `x+600` Rs. Total amount invested by `B` in `5` months in rupees ` = 5x` Total amount invested by `A` in `4` months in rupees ` = 4(x+600) = 4x+2400` Total amount invested by both `A` and `B` in rupees ` = 5x+4x+2400 = 9x+2400` Now, total profit is `528` Rs and share of `A` is Rs `48` more than that of `B`. `:. (4x+2400)/(9x+2400)528 = (5x)/(9x+2400)528 +48` `=> (4x+2400)/(9x+2400)11 = 48((5x)/(9x+2400)11 +1)` `=> (4x+2400)/(9x+2400)11 = (5x)/(9x+2400)11 +1` `=>44x+26400 = 55x+9x+2400` `=>20x = 24000` `=>x = 1200` So, amount invested by `B = 1200` Rs Amount invested by `A = 1200+600 = 1800` Rs.