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)

A and B start a business jointly. What is A's share out of an annual profit of Rs. 23,800 ?.

I) B's investment is $12\frac{1}{2}\%$ more than A's investment.

II) A's investment is Rs. 1,20,000.


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 A

Explanation:

Annual profit = $Rs.23800$.

I. Let A's investment = Rs.$x$. Then, B's investment = $112\frac{1}{2}\%$ of Rs. $x$

$=Rs.\left(\frac{9x}{8}\right)$.

$\therefore A:B$ $=x:\frac{9x}{8}$ $=8:9$.

A's share = Rs. $\left(23800\times\frac{8}{17}\right)$ = Rs. 11200.

Thus, I only gives the answer.

II. A's investment = Rs. 120000

This is not sufficient to get the answer.

Thus, I gives the answer but II is not sufficient to get the answer.

$\therefore$ Correct answer is (A).