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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.
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Solution
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.
Cost price after 5% discount = `500 - 5/100 xx 500`
= 500 – 25
= Rs. 475
According to the question,
(100 + 25)% of x = 475
⇒ `125/100 xx x = 475`
⇒ `x = (475 xx 100)/125`
= 3.8 × 100
= Rs. 380
Hence, cost price of an article is Rs. 380.
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