Question

After allowing a discount of $7\frac{1}{2}\%$ on the marked price, an article is sold for $Rs.555$. Find its marked price.

Answer 1

Selling price (S.P) $=Rs.555$
Rate of discount $=7\frac{1}{2}\%=\frac{15}{2}\%$

$\therefore$ Marked price (M.P) $=\frac{\text{S.P}\times 100}{100-\text{Discount}\%}$

$=Rs.\frac{555\times 100}{100-\frac{15}{2}}$

$=Rs.\frac{555\times 100}{\frac{200-15}{2}}$

$=Rs.\frac{555\times 100}{\frac{185}{2}}$

$=Rs.\frac{555\times 100\times 2}{185}$

$=Rs.\frac{3\times 100\times 2}{1}$

$=Rs.3\times 100\times 2$

$=Rs.600$

Therefore, Marked price is $Rs.600$.