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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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What price should a shopkeeper mark on an article, which costs him ₹136, to gain 20% after allowing a discount of 15%?
₹162
₹216
₹224
₹192
₹192
Use the relationship: MP=CP×100−Discount%100+Gain%. Here, MP=136×85120=136×1724=8×24=192.
Cost Price (CP) = ₹136, Gain Percentage = 20%, Discount Percentage = 15%
MP=(1−100Discount%)CP×(1+100Gain%)
Use the relationship: MP=CP×100−Discount%100+Gain%. Here, MP=136×85120=136×1724=8×24=192.
Many students mistake the mark-up formula for gain percentage on the Marked Price itself instead of calculating it relative to the Cost Price.
Calculate Selling Price (SP)
To achieve a 20% gain on the cost price of ₹136, we calculate the required selling price.
SP=136×(1+0.20)=136×1.20=163.2
Relate SP to Marked Price (MP)
The selling price is the marked price after a 15% discount. Thus, SP=MP×(1−0.15)
163.2=MP×0.85
Calculate Marked Price
Divide the SP by 0.85 to find the original marked price.
MP=0.85163.2=192
D is correct because the marked price is calculated as ₹192 to allow for a 15% discount while retaining a 20% profit on the ₹136 cost.
This type of problem frequently appears in profit and loss chapters; remember that profit is always calculated on CP, and discounts are always calculated on MP.
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