Question

How much did Rohit get as profit at the year-end in the business done by Nitin, Rohit and Kunal?
I. Kunal invested Rs. $8000$ for nine months, his profit was $\frac{3}{2}$ times that of Rohit's and his investment was four times that of Nitin.
II. Nitin and Rohit 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. Question cannot be answered even with the information in all the three statements
• D. All I, II and III
• E. None of these

Answer 1

The correct option is D All I, II and III

I and II give:
$K=$ Rs. $(8000\times 9)$ for $1$ month $=$ Rs. $72000$ for $1$ month.
$N=$ Rs. $(\frac{1}{4}\times 8000\times 12)$ for $1$ month $=$ Rs. $24000$ for $1$ month.
$R=$ Rs. $48000$ for $1$ month.
$\therefore$ $K:N:R=72000:24000:48000=3:1:2$.
III gives, total profit $=$ Rs. $1000$.
$\therefore$ Rohit's share $=$ Rs. $(1000\times \frac{2}{6})=$ Rs. $333\frac{1}{3}$
$\therefore$ Correct answer is (D).