Discussion
P and Q started a business by investing their capitals in the ratio of 1 : 2 and the period of P's investment is three times that of Q. If P received a profit of ₹ 22,800, then what is the total profit?
Answer: D
The total profit is ₹ 38,000. Profit is shared in the ratio of capital times period. P's capital is 1 part for 3 units of time and Q's is 2 parts for 1 unit of time. \[ P : Q = 1\times 3 : 2\times 1 = 3 : 2 \] P's share is \(\frac{3}{5}\) of the profit, so \[ \text{Total} = 22800\times\frac{5}{3} = 38000 \] Reversing the periods would give a ratio of 1 : 6 and a very different total, and ₹ 36,000, ₹ 36,900 and ₹ 42,000 do not match P's share of 3 out of 5 parts.
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