Aman gave 40\% of the amount he had to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying ₹ 200 to the taxi driver out of the amount he got from Rohan, Sahil now has ₹ 600 left with him. How much amount did Aman have?
(a)₹ 4000
(b)₹ 8000
(c)₹ 12,000
(d)Data inadequate
Answer
Answer (as printed): B
Explanation
Let the amount with Aman be ₹ $x$. Then, amount received by Sahil $=\frac{1}{4}$ of 40\% of ₹ $x=10 \%$ of $₹ x$. $$\begin{aligned} & \therefore \quad 10 \% \text { of } x=600+200 \\ & \Rightarrow \quad \frac{10}{100} x=800 \Rightarrow x=800 \times 10=8000 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.