Question

a shopkeeper sold an article at a gain of 5%.if he had it for Rs 16.50 less,he would have lost 5%.find the cost price of article

Answer 1

let CP of the article = x
at 5% gain, SP of article = x + (5/100)x = 1.05x
at 5% loss, SP of article = x - (5/100)x = 0.95x

given that 1.05x - 0.95x = 16.5
⇒ 0.1x = 16.5
⇒ x = 16.5/0.1
⇒ x = Rs. 165.

The cost price of the article is Rs. 165.

Answer 2

Answer:

230

Step-by-step explanation:

Let cost price be Rs. x

Profit =Rs. 1005x

∴  Selling price =Rs. 100105x

New selling price =Rs. (100105x−16.50)

Loss =Rs. (x−100105x+16.50)

∴ 5=x−100105x+16.50

or , 1.50=71005x

∴ x=230

Ans : Cost price is Rs. 230