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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?
Most Upvoted Answer
The marked price of an article is RS. 500. The shopkeeper gives a disc...
Given information:


  • Marked price of an article = Rs. 500

  • Discount offered by the shopkeeper = 5%

  • Profit made by the shopkeeper after giving the discount = 25%



Calculating the Selling Price

As the shopkeeper gives a discount of 5%, the selling price of the article will be:


Selling Price = Marked Price - Discount

Selling Price = 500 - (5/100)*500

Selling Price = 500 - 25

Selling Price = Rs. 475

Calculating the Cost Price

As we know that the shopkeeper made a profit of 25% after giving a discount of 5%, so we can use the formula:


Profit Percentage = (Profit/Cost Price) * 100

Profit = Selling Price - Cost Price

25 = ((475 - Cost Price)/Cost Price) * 100

25*Cost Price = 47500 - 100*Cost Price

125*Cost Price = 47500

Cost Price = 380

Answer

Therefore, the cost price of the article is Rs. 380.
Community Answer
The marked price of an article is RS. 500. The shopkeeper gives a disc...
After discount price 

= 500-5/100*500=500-25= 475 


Now in 475 he get 25% profit

x + 25/100x= 475

x+1/4x=475

5/4x=475

x=475*4/5=380 = cost price of article
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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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