A, B and C together start a business with a total investment of ` 15,000. At the end of the year, the total profit is ` 3000. What is A’s share in the profit? 3 I. A’s contribution is times B’s. 2 II. B’s contribution is twice that of C. III. A’s contribution is thrice that of C.
(a)I and II only
(b)II and III only
(c)All I, II and III
(d)Any two of the three
(e)None of these
Answer
Answer (as printed): D
Explanation
Let C's contribution be ₹$x$. From I and II, we get: $C=₹x$, $B=₹2x$ and $A=₹\left(\frac{3}{2}\times2x\right)=₹3x$. From II and III, we get $C=₹x, B=₹2x$ and $A=₹3x$. From I and III, we get $C=₹x$, $A=₹3x$ and $B=₹\left(\frac{2}{3}\times3x\right)=₹2x$. Thus, $A:B:C=3x:2x:x=3:2:1$. A's share $=₹\left(3000\times\frac{3}{6}\right)=₹1500$. Thus, any two of the three give the answer. $\therefore$ Correct answer is (d).
Explanation as extracted from the printed page; notation may be imperfect.