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 ______.

विकल्प

• Rs 500

• Rs 450

• Rs 460

• Rs 486

Answer 1

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as Rs 500.

Explanation:

Let the marked price of the article be Rs. x.

Cost price of the article = Rs. 360

According to the question,

`x - x xx 10/100 - (25 xx 360)/100 = 360`

⇒ `x - x/10 - 90 = 360`  ...`[(∵ "Discount is always calculated on marked price and"), ("profit is always calculated on cost price")]`

⇒ `(9x)/10 - 90 = 360`

⇒ `(9x)/10 = 360 + 90`

⇒ `x = (450 xx 10)/9`

⇒ `(9x)/10 = 450`

⇒ x = Rs 500

So, the marked price is Rs 500.

Hence, Rs 500