Question:
After allowing a discount of $7 \frac{1}{2} \%$ on the marked price, an article is sold for Rs 555 . Find its markd price.
Solution:
Given,
SP of the article $=$ Rs. 555
Discount $=7.5 \%$
Let the MP of the article be Rs. $x$.
Therefore, Discount $=\frac{\text { Discount } \times \mathrm{MP}}{100}=$ Rs. $\frac{7.5 x}{100}=$ Rs. $0.075 x$
Since SP $=\mathrm{MP}-D$ iscount,
$555=x-0.075 x$
$555=0.925 x$
$x=\frac{555}{0.925}$
$=R s .600$
Thus, the MP of the article is Rs. 600 .