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A bag marked at ₹80 is sold for ₹68. The rate of discount is:
12%
20%
17.5%
15%
15%
Calculate the difference between MP and SP (80 - 68 = 12). Since 8 is 10% of 80, 12 is 1.5 times that, i.e., 15%.
Marked Price (MP) = ₹80, Selling Price (SP) = ₹68
Discount Percentage=(MPMP−SP)×100
Calculate the difference between MP and SP (80 - 68 = 12). Since 8 is 10% of 80, 12 is 1.5 times that, i.e., 15%.
Students often calculate the discount percentage on the Selling Price (SP) instead of the Marked Price (MP), leading to 17.65% instead of 15%.
Identify given values
The marked price of the bag is MP=₹80 and the selling price is SP=₹68.
MP=80,SP=68
Calculate the discount amount
Discount is the difference between the marked price and the selling price.
Discount=80−68=12
Calculate the discount rate
Apply the discount percentage formula: MPDiscount×100.
8012×100=203×100=15%
D is correct because the discount of ₹12 on a marked price of ₹80 results in a 15% discount rate.
This concept is fundamental to Profit & Loss problems; always remember that discounts are always calculated on the Marked Price, whereas profit/loss is calculated on the Cost Price.
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