Question
In a partnership, the amount invested by βPβ and
βQβ is in the ratio 7:4. The amount invested by βRβ is Rs. 600 less than the amount invested by βPβ. If all three invested for the same duration, and the ratio of profit earned by βPβ and βRβ is 7:5, then what is the ratio of profit earned by βQβ and βRβ?Solution
Let the amount invested by βPβ and βQβ be Rs. 7x and Rs. 4x, respectively.
Therefore, amount invested by βRβ = Rs. (7x β 600) According to the question,
7x / (7x β 600) = 7 / 5
β 35x = 49x β 4200
β 14x = 4200
β x = 4200 / 14 = 300 Therefore, ratio of the profits received by βQβ and βRβ = 4x / (7x β 600) = 1200 : 1500 =Β 4:5
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