Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2009 · Marks: · Difficulty:
A space research company wants to sell its two products A and B. If the product A is sold at 20\% loss and the product B at 30\% gain, the company will not lose anything. If the product A is sold at 15\% loss and the product B at 15\% gain, the company will lose ₹ 6 million in the deal. What is the cost of product B?
(a)₹ 80 million
(b)₹ 100 million
(c)₹ 120 million
(d)₹ 140 million
Answer
Answer (as printed): A
Explanation
Let the cost of product A be ₹ $x$ and that of product B be ₹ $y$. Then, 20\% of $x=30 \%$ of $y \Rightarrow \frac{x}{5}=\frac{3 y}{10} \Rightarrow x=\frac{3 y}{2}$ And, $15 \%$ of $x-15 \%$ of $y=6 \Rightarrow \frac{15}{100}(x-y)=6$ $$\begin{aligned} & \Rightarrow x-y=40 \Rightarrow \frac{3 y}{2}-y=40 \\ & \Rightarrow \frac{y}{2}=40 \Rightarrow y=80 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.