Question
'X' began a venture by investing an unknown amount. 4
months later, 'Y' came in with Rs. 1300 more than 'X'. At the end of 1 year, the profit was divided in the ratio 7:9. What was 'X's investment?Solution
ATQ,
Let 'X's investment = Rs. 'Y'
Then 'Y's investment = Rs. (Y + 1300)
Profit ratio = (Y Ă— 12) : {(Y + 1300) Ă— 8}
ATQ,
(Y Ă— 12) Ă· {(Y + 1300) Ă— 8} = 7/9
Or, 12Y Ă— 9 = 7 Ă— (8Y + 10400)
Or, 108Y = 56Y + 72800
So, Y = (72800 Ă· 52) = 1400
Therefore, initial investment of 'X' = Rs. 1400
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