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)

How much did Ram get as profit at the year-end in the business done by Nissam, Ram and Karan?

I. Karan invested Rs. $8000$ for $9$ months, his profit was $\frac{3}{2}$ times that of Ram's and his investment was $4$ times that of Nissam.

II. Nissam and Ram invested for one year in the proportion $1:2$ respectively.

III. The three together got Rs. $1000$ as profit at the year end.


A) Only I and II

B) Only I and III

C) Cannot be answered with all (I,II,III)

D) All I, II and III

E) None of these

Answer:

Option D

Explanation:

I and II give:

K = Rs.$(8000\times 9)$ for one month = Rs. $72000$ for one month.

N = Rs. $\left(\frac{1}{4}\times 8000\times 12\right)$ for one month = Rs. 24000 for one month.

R = Rs. $48000$ for one month.

$\therefore$ $K:N:R$ $=72000:24000:48000$ $=3:1:2$.

III gives, total profit = Rs. $1000$.

$\therefore$ Ram's share = Rs. $\left(1000\times\frac{2}{6}\right)$

= Rs. $333\frac{1}{3}$.

$\therefore$ Correct answer is (D).