Question : P invests Rs, 9,100 for 3 months, Q invests Rs. 6,825 for 2 months, and R invests Rs. 8,190 for 5 months in a business. If the total profit amounts to Rs.4158, how much profit should Q get?
Option 1: Rs. 682.52
Option 2: Rs. 693
Option 3: Rs. 1386
Option 4: Rs. 346.50
Correct Answer: Rs. 693
Solution :
P invests Rs. 9100 for 3 months = Rs. 9100 × 3 = Rs. 27,300
Q invests Rs. 6825 for 2 months = Rs. 6825 × 2 = Rs. 13,650
R invests Rs. 8190 for 5 months = Rs. 8190 × 5 = Rs. 40,950
Total investment = 27300+13650+40950 = Rs. 81,900
Total profit = Rs. 4,158
Q's profit share = $\frac{13650}{81900}$ × 4158 = Rs. 693
Hence, the correct answer is Rs. 693.
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