Question

$\text{To gain 25\% after allowing a discount of 10\%, the shopkeeper must mark the}\text{price of the article which costs him ₹360 as :}$

• A. ₹$460$
• B. ₹$450$
• C. ₹$486$
• D. ₹$500$

Answer 1

The correct option is D ₹$500$

$\text{Given, the cost price of the article is ₹360.}$
$\text{Now, the selling price after the gain of 25\%}=₹360+25\text{\% of}₹360=₹360+₹90=₹450$
$\text{Now, the shopkeeper allows a discount of 10\% on the marked price.}$
​​​​​​​$\text{Let’s assume the marked price is ₹x,}$
​​​​​​​$\text{Hence ₹x - 10\% of ₹x = ₹450}$
$\Rightarrow \frac{90x}{100}=450$
$\Rightarrow x=500$
​​​​​​​$\text{Therefore, If the shopkeeper marked the price of the article as ₹500,}\text{then he will gain 25\% after the discount of 10\%.}$