Question 71
The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.
Given, marked price of an article = Rs. 500
Discount % = 5%
But it makes a profit of 25%.
Let the cost price of the article be Rs.x
Selling price after 5% discount =500−5100×500
= 500 - 25 = Rs. 475
According to the question,
(100 + 25)% of x = 475
⇒ 125100×x=475
⇒ x=475×100125
Hence, cost price of an article is Rs. 380