Question

by selling an article for Rs 18.75 a merchant loses as much percent as it cost him in rupees find the cost price of the article

Answer 1

Answer:

the cost price of the article is = Rs.75

Answer 2

Given:

SP = Rs 18.75

To Find:

CP (cost price)

Solution:

let CP = x

SP = Rs 18.75

According to Question

loss % = x %

loss % = [lossCP * 100] % x

[(x− 18.75)x × 100]

Equating to zero

⇒ x2 − 100x + 1875 = 0

⇒ x2 − 75x − 25x + 1875 = 0

⇒ x(x − 75) − 25(x − 75) = 0

⇒ (x − 25) (x − 75) = 0

⇒ (x − 25) = 0 or (x − 75) = 0

⇒ x = 25 or x = 75

CP = Rs 25 or Rs 75

So, cost price = Rs 25 or Rs 75.