Question

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.

• A. Rs. 380
• B. Rs. 370
• C. Rs. 360
• D. Rs. 350

Answer 1

The correct option is A Rs. 380

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 $=500-\frac{5}{100}\times 500$
= 500 - 25 = Rs. 475
According to the question,
(100 + 25)% of x = 475
$\Rightarrow \frac{125}{100}\times x=475$
$\Rightarrow x=\frac{475\times 100}{125}$
Hence, cost price of an article is Rs. 380