A shopkeeper sells an article for ₹ 248.50 after allowing a discount of 10% on its list price. Find the list price of the article.

Given:

S.P. of an article = ₹ 248.50

Discount = 10%

Let the M.P. of the article be ₹ $x$.

As we know,

$\text{Discount \%} = \dfrac{\text{Discount}}{\text{M.P.}} \times 100\\[1em] \Rightarrow 10 = \dfrac{\text{Discount}}{x} \times 100\\[1em] \Rightarrow \text{Discount} = \dfrac{10 \times x}{100}\\[1em] = \dfrac{10x}{100}\\[1em] = \dfrac{x}{10}$

And

$\text{Discount = M.P. - S.P}\\[1em] \Rightarrow\dfrac{x}{10} = x - 248.50\\[1em] \Rightarrow 248.50 = x - \dfrac{x}{10}\\[1em] \Rightarrow 248.50 = \dfrac{10x}{10} - \dfrac{x}{10}\\[1em] \Rightarrow 248.50 = \dfrac{(10x - x)}{10} \\[1em] \Rightarrow 248.50 = \dfrac{9x}{10} \\[1em] \Rightarrow x = \dfrac{10 \times 248.50}{9} \\[1em] \Rightarrow x = \dfrac{2485}{9} \\[1em] \Rightarrow x = ₹ 276.11 \\[1em]$

Hence, the list price = ₹ 276.11