Question

A shopkeeper sells an article at a loss of $12\frac{1}{2}\%$. Had he sold it for Rs.518 more, he would have earned a profit of 6%.
What is the cost price of the article?

• A. Rs. 280
• B. Rs. 300
• C. Rs. 380
• D. Rs. 400
• E. Rs.500

Answer 1

The correct option is A

Rs. 280

Let C.P. be Rs.x.
Then, $\left(106\%ofx\right)$ – $\left(87\frac{1}{2}\%ofx\right)$ = 518

$⟹18\frac{1}{2}\%ofx=518$

$\therefore x=\left(\frac{518\times 100\times 2}{37}\right)=2800$