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