Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
The C.P. of two watches taken together is ₹ 840. If by selling one at a profit of 16\% and the other at a loss of 12\%, there is no loss or gain in the whole transaction, then the C.P. of the two watches are respectively
(a)₹ 360, ₹ 480
(b)₹ 480, ₹ 360
(c)₹ 380, ₹ 460
(d)₹ 400, ₹ 440
Answer
Answer (as printed): A
Explanation
Let the C.P. of the watches be ₹ $x$ and ₹ $(840-x)$. $$\begin{array}{ll} \therefore & (116 \% \text { of } x)+[88 \% \text { of }(840-x)]=840 \\ \Rightarrow & 116 x+73920-88 x=84000 \\ \Rightarrow & 28 x=10080 \Rightarrow x=360 . \end{array}$$ ∴ Their cost prices are ₹ 360 and ₹ 480.
Explanation as extracted from the printed page; notation may be imperfect.