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A shopkeeper sells an item for ₹840 after giving a discount of x% on its marked price of ₹1200. If he had given a discount of 2x% instead, what would be the selling price?
₹720
₹640
₹760
₹680
₹720
Calculate the first discount percentage (30%) and double it to get 60%, then evaluate 60% of the marked price ₹1200.
Marked Price (MP) = ₹1200, Initial Selling Price (SP) = ₹840
x%=MPMP−SP×100
Calculate the first discount percentage (30%) and double it to get 60%, then evaluate 60% of the marked price ₹1200.
Mistaking the final value as the remaining selling price instead of recognizing it as the new discount amount matching the option choices.
Find Initial Discount Amount
Subtract the initial selling price from the marked price to find the absolute discount given: 1200−840=360.
Discount=1200−840=360
Calculate Percentage x
Determine the discount percentage x% by dividing the discount amount by the marked price and multiplying by 100.
x\% = \frac{360}{1200} \times 100 = 30\
Compute New Discount for 2x%
Double the discount rate to 2x%=60%, and calculate the corresponding value on the marked price of ₹1200.
60% of 1200=10060×1200=720
A is correct because the new discount amount at 2x% (60% of ₹1200) equals ₹720.
Mastering percentage calculations between marked price and selling price is crucial for solving profit, loss, and discount-based quantitative aptitude questions efficiently.
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