A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received ₹ 4000 as profit, then their total profit is:
(a)₹ 16000
(b)₹ 20000
(c)₹ 24000
(d)₹ 28000
Answer
Answer (as printed): D
Explanation
Suppose B invested ₹ $x$ for $y$ months. Then, A invested ₹ $3 x$ for $2 y$ months. So, $\mathrm{A}: \mathrm{B}=(3 x \times 2 y):(x \times y)=6 x y: x y=6: 1$. ∴ B's profit : Total profit = 1 : 7. Let the total profit be ₹ $x$. Then, $\frac{1}{7}=\frac{4000}{x}$ or $x=28000$.
Explanation as extracted from the printed page; notation may be imperfect.