Question

By selling an article at $20\%$ discount, a shopkeeper gains $25\%$. If the selling price of the article is Rs. $1,440$; find the marked price of the article.

• A. Rs. $1,733$
• B. Rs. $1,800$
• C. Rs. $1,864$
• D. Rs. $1,900$

Answer 1

The correct option is B Rs. $1,800$

$\Rightarrow$ Let the market price be $x$.

$\Rightarrow$ Discount = $20\%$ ; S.P = $Rs.1,440$; Profit = $25\%$

$\Rightarrow$ We have to find Market price.

$\Rightarrow$ Discount = $\frac{20}{100}\times x=\frac{x}{5}$

$\Rightarrow$ Selling Price = Market Price - Discount.

$\Rightarrow$ $1440=x-\frac{x}{5}$

$\Rightarrow$ $1440=\frac{5x-x}{5}$

$\Rightarrow$ $1440=\frac{4x}{5}$

$\Rightarrow$ $x=Rs.1,800$

$\therefore$ Market price is $Rs.1,800.$