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A shopkeeper sells an item for Rs. 450 at a loss of 10%. What should be the selling price to gain 20%?
Rs. 500
Rs. 600
Rs. 550
Rs. 650
Rs. 600
Use the direct ratio formula combining both conditions to find the new selling price in one step without calculating the exact cost price.
Selling Price 1 = Rs. 450, Loss percentage = 10%, Desired profit percentage = 20%
SP2тАЛ=SP1тАЛimes(100тИТextLoss%100+extGain%тАЛ)
Use the direct ratio formula combining both conditions to find the new selling price in one step without calculating the exact cost price.
Students frequently calculate 20% profit directly on the given selling price of Rs. 450 instead of referencing the cost price.
Determine Cost Price
Calculate the cost price (CP) using the initial selling price and loss percentage via the formula CP=1тИТLoss%SP1тАЛтАЛ.
CP=0.90450тАЛ=500
Calculate Target Selling Price
Apply the desired 20% profit margin to the cost price using SP2тАЛ=CPimes(1+Gain%).
SP2тАЛ=500imes1.20=600
Match with Options
The computed selling price of Rs. 600 matches Option B exactly.
SP2тАЛ=Rs.┬а600
B is correct because the required selling price to achieve a 20% gain is calculated to be Rs. 600.
Quick percentage multipliers can similarly accelerate calculations in discount, markup, and simple interest problems.
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