Question

Three friends, $P$, $Q$ and $R$ started a partnership business investing money in the ratio of $5:4:2$ respectively for a period of $3$ years. What is the amount received by $P$ as his share profit?
I. Total amount invested in the business is Rs. $22,000$.
II. Profit earned at the end of $3$ years is $\frac{3}{8}$ of the total investment.
III. The average amount of profit earned per year is Rs. $2750$.

• A. I or II or III
• B. Either III only, or I and II together
• C. Any two of the three
• D. All I, II and III are required
• E. None of these

Answer 1

Answer: (B)

Either III only, or I and II together

I and II give, profit after $3$ years $=$ Rs. $(\frac{3}{8}\times 22000)=$ Rs. $8250$.
From III also, profit after $3$ years $=$ Rs. $(2750\times 3)=$ Rs. $8250$.
$\therefore$ $P$'s share $=$ Rs. $(8250\times \frac{5}{11})=$ Rs. $3750$.
Thus, (either III is redundant [or] I and II are redundant).
$\therefore$ Correct answer is (B).