Question

by reducing the selling price of an article by rs 50 a gain of 5%turns into a loss of 5%.find the original selling price of the article?

Answer 1

Solution:-

Let Rs. 'x' be the cost price and Rs. 'y' be the original selling price of the article.
We know that,
Gain % = (Gain*100/cost price)
∴ 5 % = (y - x)*100/x
⇒ x = 20(y - x)
⇒ x = 20y - 20x
⇒ x + 20x = 20y
⇒ 21x = 20y
⇒ y = 21x/20
When the selling price of the article is reduced by Rs. 50 then the new selling price of the article = Rs.(21x/20 - 50)
We know that,
Loss % = (Loss*100)/Cost price 
5 = [x - {21x/20 - 50}/x)] × 100
⇒ x = {x - 21x/20 + 50} × 20
⇒ x = [{20x - 21x +1000}/20] ×20
⇒ x = - x + 1000
⇒ x + x = 1000
⇒ 2x = 1000
⇒ x = 500
So, the cost price of the article is Rs. 500.
The original selling price 'y' = 21x/20
= (21*500)/20
y = 525
The original selling price is Rs. 525
Answer.

Answer 2

Answer:

Step-by-step explanation: please check the attachment for reference to the answer