Question

A shopkeeper sells an article at a gain of 10%. Had he sold it at a loss of 20%, its selling price would have been Rs 180 less. What is the cost price of the article?

• A. Rs 630
• B. Rs 600
• C. Rs 580
• D. Rs 615
• E. None of these

Answer 1

The correct option is B Rs 600

Here, $S.P{.}_1-S.P{.}_2$ =Rs 180. x =10, y =-20.
C.P.=?
Using the formula, $\frac{C.P}{100}=\frac{S.P_1-S.P_2}{x-y}$
we get, $C.P=\left(\frac{180}{10+20}\right)\times 100=\frac{180}{30}\times 100=Rs600.$