Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A man purchases two clocks A and B at a total cost of ₹ 650. He sells A with 20\% profit and B at a loss of 25\% and gets the same selling price for both the clocks. What are the purchasing prices of A and B respectively?
(a)₹ 225, ₹ 425
(b)₹ 250, ₹ 400
(c)₹ 275, ₹ 375
(d)₹ 300, ₹ 350
Answer
Answer (as printed): B
Explanation
Let C.P. of clock A be ₹ $x$ and that of clock B be ₹ (650 $-x)$. Then, $120 \%$ of $x=75 \%$ of $(650-x)$ $$\begin{aligned} & \Rightarrow 650-x=\frac{120}{75} x=\frac{8}{5} x \\ & \Rightarrow \frac{13}{5} x=650 \Rightarrow x=\left(\frac{650 \times 5}{13}\right)=250 . \end{aligned}$$ ∴ C.P. of $\mathrm{A}=₹ 250$, C.P. of $\mathrm{B}=₹ 400$.
Explanation as extracted from the printed page; notation may be imperfect.