Question

In a business, $P , Q$, and $R$ are three partners. Thrice P's investment is equal to twice Q's investment and R's investment is equal to twice P's investment. Q's period of investment is $\frac{4}{3}$ times P's period of investment and is twice R's period of investment. If the total profit at the end of the year is $₹ 52,000$, find the sum of the shares of $P$ and $Q$ in the profit. (in ₹)

• A. 32,000
• B. 36,000
• C. 40,000
• D. 28,000

Answer 1

Answer: (B)

(i) Find the ratio of investments and the ratio of time periods.
(ii) Let P's investment be $₹ x$.
(iii) Now, find investments of $Q$ and $R$ in terms of $x$ with the given data.
(iv) Let the time period of investment of $R$ be $y$ months.
(v) Now, find time periods of investment of $P$ and $Q$.
(vi) Ratio of shares of profits is equal to the ratio of product of investments and investment periods.