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A puts Rs 600 more in a business than B,...

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?

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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)`
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