How much did Rohit get as profit at the year-end in the business done by Nitin, Rohit and Kunal? I. Kunal invested ` 8000 for nine months, his profit 3 was times that of Rohit’s and his investment 2 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 ` 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
Answer (as printed): D
Explanation
I and II give, $K=₹(8000\times9)$ for 1 month $=₹72000$ for 1 month. $N=₹\left(\frac{1}{4}\times8000\times12\right)$ for 1 month $=₹24000$ for 1 month. $R=₹48000$ for 1 month. $\therefore K:N:R=72000:24000:48000=3:1:2$. III gives, total profit $=₹1000$. $\therefore$ Rohit's share $=₹\left(1000\times\frac{2}{6}\right)=₹333\frac{1}{3}$. $\therefore$ Correct answer is (d).
Explanation as extracted from the printed page; notation may be imperfect.