The marked price of an article is Rs.500.The shopkeeper gives a discount of 12%.Find the cost price of the article?
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The cost price of article is Rs 380
Solution:
Given that, marked price of article is Rs.500
Discount = 5 %
Profit = 25 %
To find: cost price of article
Let us first find the selling price
Selling price = Marked price - 5 % discount on marked price
Selling price = 500 - 5 % discount on 500
Selling price = 500 - \frac{5}{100} \times 500 = 500 - 25 = 475
Thus selling price is Rs 475
Finding cost price:
cost \: price= \frac{100}{100 + profit} \times sp
cost \: price = \frac{100}{100 + 25} \times 475\\\\cost \: price = \frac{100}{125} \times 475\\\\cost \: price = 380
Thus cost price of article is Rs 380
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