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Amita bought a laptop at a 20% discount on its marked price. If she paid ₹28,400 for the laptop, what was its marked price?
₹33,300
₹32,600
₹36,100
₹35,500
₹35,500
Since SP is 80% of MP, divide the amount by 0.8: 28,400/0.8=284,000/8=35,500.
Marked price discount = 20%, Paid price (Selling price) = ₹28,400
SP=MP×(1−discount%)=MP×(1−0.20)=MP×0.8
Since SP is 80% of MP, divide the amount by 0.8: 28,400/0.8=284,000/8=35,500.
Students often mistakenly calculate 20% of the price paid (₹28,400) and add it back instead of calculating 20% of the marked price.
Identify the relationship
The Selling Price (SP) is the Marked Price (MP) reduced by the discount percentage. Since the discount is 20%, the SP is 80% of the MP.
SP=0.80×MP
Substitute known values
Substitute the given SP of ₹28,400 into the equation: 28,400=0.80×MP.
MP=0.8028,400
Calculate the Marked Price
Divide 28,400 by 0.8 to solve for the Marked Price.
MP=8284,000=35,500
D is correct because the marked price is calculated as ₹28,400 / 0.8 = ₹35,500.
This concept is identical to solving 'successive percentage' problems where you reverse the final result back to the base value by dividing by the percentage factor.
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