Rahul, Anurag and Vivek started a business together. In what proportion would the annual profit be distributed among them? I. Rahul got one-fourth of the profit. II. Rahul and Vivek contributed 75% of the total investment.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
Let the total investment be ₹ $x$. Then, $R=\frac{x}{4}$. $R+V=\left(\frac{75}{100}\times x\right)=\frac{3x}{4} \Rightarrow V=\left(\frac{3x}{4}-\frac{x}{4}\right)=\frac{x}{2}$. $\therefore A=x-\left(\frac{x}{4}+\frac{x}{2}\right)=\frac{x}{4}$. $R:A:V=\frac{x}{4}:\frac{x}{4}:\frac{x}{2}=1:1:2$. Thus, both I and II are needed to get the answer.
Explanation as extracted from the printed page; notation may be imperfect.