Three partners P, Q, R start a business. Twice of P's capital is equal to thrice of Q's capital and Q's capital is four times R's capital. Out of a total profit of Rs. 27,500 at the end of the year, Q's share is:
Explanation:
Let R's capital be x.
⇒ Q's capital = 4x
Also, 2 × P's capital = 3 × 4x ⇒ P's capital = 6x
Since nothing is mentioned about their invested time, we will assume it is same for all.
∴ Ratio of their profit = Ratio of their investments
⇒ PP : PQ : PR = 6x : 4x : x = 6 : 4 : 1
Now, profit received by Q will be 4 parts out of total 11 parts (6 + 4 + 1)
∴ PQ = 4/11 × 27500 = 10,000
Hence, option (b).
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