P, Q, and R invest the sum in the ratio of 7 : 4 : 9 respectively. If they earned a total profit of Rs. 6680 at the end of the year, then what is the total share of P and Q together?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 3674.
The ratio of investments = Ratio of profits = 7 : 4 : 9
Let the profits of P, Q, and R be Rs.7x, Rs.4x and Rs.9x respectively.
Total profit = 6680
⇒ 7x + 4x + 9x = 6680
⇒ 20x = Rs.6680
⇒ x = 334
Share of P and Q together = 7x + 4x = 7(334) + 4(334) = 2338 + 1336 = 3674