Question

By reducing the selling price of an article by $ 50, a gain of 5% turns into a loss of 5%. Find original selling price of the article.

Answer 1

Answer:

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