A sum of money is to be distributed among P, Q, and R in the ratio of 3:5:7. If Q receives ₹1200, what is the total sum of money?
₹3600
In a ratio sharing problem, every share equals the value of one part multiplied by that person's ratio term. Knowing one person's share gives the value of one part, from which the whole sum follows.
Total parts = 3 + 5 + 7 = 15
Q's share = 5 parts = ₹1200
1 part = \(\frac{1200}{5}\) = ₹240
Total sum = 15 × 240 = ₹3600
Check: P = 3 × 240 = ₹720, Q = 5 × 240 = ₹1200, R = 7 × 240 = ₹1680
720 + 1200 + 1680 = ₹3600. The other amounts cannot be split in the ratio 3:5:7 with Q getting exactly ₹1200.
Hence, ₹3600.
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