An article marked for ₹275 is sold at 5% discount. The seller still gains 4.5%. What did he pay for it?

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Accepted Answer

Step 1: Calculate the selling price (SP) after 5% discount on the marked price of ₹275.   
Discount = 5% of 275 = (5/100) × 275 = ₹13.75  
SP = Marked Price - Discount = 275 - 13.75 = ₹261.25

Step 2: Let the cost price (CP) be x.  
Given that the seller gains 4.5%, so:  
SP = CP + 4.5% of CP = x + 0.045x = 1.045x

Step 3: Using the SP calculated:  
1.045x = 261.25  
x = 261.25 / 1.045 ≈ ₹250

Therefore, the cost price is ₹250.

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