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Examoogle • User • info@examoogle.com • EE-2024-8821
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Amit bought a laptop at a 25% discount on its marked price. If he paid ₹28,500 for the laptop, what was its marked price?
₹38,000
₹37,400
₹37,000
₹38,600
₹38,000
Since the discount is 25%, the selling price is 75% of the marked price. Hence, Marked Price = 7528500×100=328500×4=9500×4=38000.
Marked price discount = 25%, Selling price (Amount paid) = ₹28,500
Selling Price=Marked Price×(1−100Discount %)
Since the discount is 25%, the selling price is 75% of the marked price. Hence, Marked Price = 7528500×100=328500×4=9500×4=38000.
Many students mistakenly calculate 25% of the paid price (₹28,500) and add it, rather than calculating it backward from the marked price base.
Understand the percentage relation
Since Amit receives a 25% discount on the marked price, the price he pays (28,500) represents 100%−25%=75% of the marked price.
Selling Price=75% of Marked Price
Set up the formula for Marked Price
Using the relationship between Selling Price and Marked Price, we write the equation: Marked Price=100−Discount %Selling Price×100
MP=7528500×100
Perform the calculation
Divide 28,500 by 75 to get 380, then multiply by 100 to get the final marked price: 380×100=38000.
MP=₹38,000
A is correct because the marked price calculated is ₹38,000.
This percentage reverse-calculation technique is identical to finding the original price before profit/loss or tax additions.
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