Discussion Forum



Each of the questions given below consists of a question followed by three statements numbered I, II and III. Please read the questions and its statements carefully and decide which of the statement(s) is/are necessary to answer the question.

1)

A, B and C together start a business with a total investment of Rs. $15,000$. At the end of the year, the total profit  is Rs. $3000$. What is A's share in the profit ?

I. A's contribution is $\frac{3}{2}$ times B's

II. B's contribution is twice that of C.

III. A's contribution is thrice that of C.


A) I and III only

B) II and III only

C) All I, II and III

D) Any two of three

E) None of these

Answer:

Option D

Explanation:

Let C's contribution be Rs. $x$.

From I and II, we get: C = Rs. $x$, B = Rs. $2x$ and A = Rs. $\left(\frac{3}{2}\times 2x\right)$ = Rs. $3x$.

From II and III, we get C = Rs. $x$, B = Rs. $2x$ and A = Rs. $3x$.

From I and III, we get C = Rs. $3x$ and B = Rs. $\left(\frac{2}{3}\times 3x\right)$ = Rs. $2x$.

Thus, $A:B:C$ $=3x:2x:x$ $=3:2:1$.

A's share = Rs. $\left(3000\times\frac{3}{6}\right)$ = Rs. $1500$.

Thus, any two of three give the answer.

$\therefore$ Correct answer is (D).