Question

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which cost him ₹ 360 as

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

Answer 1

The correct option is A ₹500

Let the marked price of the article be ₹ x.
Cost price of the article = ₹ 360

Discount % = 10%
Selling price = marked price - discount
= $x-\frac{10}{100}x$

We know that
selling price = cost price + profit

$x-\frac{10}{100}x=360+$$25\%of360$

$\Rightarrow \frac{90}{100}x=360+\frac{25\times 360}{100}$

$\Rightarrow \frac{90}{100}(x-100)=360$

$\Rightarrow x-100=400$

$\Rightarrow x=500$

So, the marked price is ₹ 500.