Question

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

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

Answer 1

The correct option is A

₹ 500

Let the M.P be ₹$x$

Gain = 25%

C.P of article = ₹360

$\text{S.P}=\frac{100+gain\%}{100}\times C.P$
$\text{S.P}=\frac{125}{100}\times 360$
= ₹450

Discount = 10%

$\text{S.P}=\frac{100-discount\%}{100}\times M.P$
$450=\frac{90x}{100}$

$x=\frac{450\times 100}{90}$
$x=₹500$

So, the shopkeeper must mark the price of the article at ₹500