Discussion Forum



Each of the questions given below consists of two statements numbered I and II. Read the statements carefully and decide whether the informations in the statement (s) is / are sufficient to answer the given question.

1)

R, A and V started a business together. In what proportion would the annual profit be distributed among them?

I. R got one-fourth of the profit.

II. R and V contributed 75% of the total investment.


A) I alone sufficient while II alone not sufficient

B) II alone sufficient while I alone not sufficient

C) Either I or II alone sufficient

D) Both I and II are not sufficient

E) Both I and II are necessary

Answer:

Option E

Explanation:

Let the total investment be Rs. $x$

Then, $R=\left(\frac{x}{4}\right)$

$R+V$ $=\left(\frac{75}{100}\times x\right)$ $=\frac{3x}{4}$

$V$ $=\left(\frac{3x}{4}-\frac{x}{4}\right)$ $=\frac{x}{2}$

$\therefore$ $A$ $=x-\left(\frac{x}{4}+\frac{x}{2}\right)$ $=\frac{x}{4}$

$R:A:V$ $=\frac{x}{4}$ $:\frac{x}{4}$ $:\frac{x}{2}$ $=1:1:2$.

Thus, both I and II are needed to get the answer.

$\therefore$ Correct answer is (E).