P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?
Total amount invested by P , Q and R = Rs. 5,90,000 Profit earned = 5,90,000 × 40/100 = Rs. 2,36,000 Ratio of shares of profit for P , Q and R = (4 × 5) : (5 × 7) : (7 × 9) = 20 : 35 : 63 Sum of the ratio = 20 + 35 + 63 = 118 ∴ Q receives = 35/118 × 2,36,000 = Rs. 70,000
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