Question

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

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

Answer 1

The correct option is A

$500$

Let's find the marked price of the article.

Let us consider

Marked price = $x$

Cost price = Rs.$360$

As per the question

$$\begin{gathered} \Rightarrow x-\left[x\times \frac{10}{100}\right]-\left[\frac{\left(25\times 360\right)}{100}\right]=360 \\ \Rightarrow x-\frac{x}{10}-90=360 \\ \Rightarrow \frac{9x}{10}=360+90 \\ \Rightarrow 9x=4500 \\ \therefore x=500 \end{gathered}$$

Hence, option (A) is correct.