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An article is sold for ₹720 after a discount of 20%. What is the marked price?
₹900
₹850
₹950
₹800
₹900
Since a 20% discount means the selling price is 80% of the marked price, directly equate 0.80×MP=720 to find MP=720/0.8=900.
Selling Price (SP) = ₹720, Discount Percentage = 20%
SP=MP×(1−100Discount%)
Since a 20% discount means the selling price is 80% of the marked price, directly equate 0.80×MP=720 to find MP=720/0.8=900.
Students often mistakenly calculate 20% of the selling price (₹720) and add it to ₹720, forgetting that discount is always calculated on the marked price.
Identify Given Values and Relationship
Note the selling price and discount percentage given: SP=₹720 and Discount=20%. The relationship between Marked Price (MP) and Selling Price (SP) is given by SP=MP×(1−100D).
SP=MP×(1−100D)
Substitute Values into the Formula
Substitute SP=720 and D=20 into the formula to form the equation: 720=MP×(1−10020).
720=MP×(1−10020)
Solve for Marked Price
Simplify the bracketed term to 0.8 and solve for MP by dividing 720 by 0.8, yielding ₹900.
MP=0.8720=900
A is correct because the calculated marked price is ₹900 when a 20% discount reduces it to a selling price of ₹720.
Profit and loss problems frequently involve successive discounts or markups, which can be solved efficiently using equivalent percentage multipliers.