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A shopkeeper sells an item for ₹840 after offering a discount of x% on the marked price of ₹1200. If he had offered a discount of 2x%, what would be the selling price?
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Notice 840 is 70% of 1200 → x =30%; then 2x=60% so new SP =40% of 1200 = ₹480
Marked price = ₹1200, selling price after x% discount = ₹840
SP=MP×(1−100d)
Notice 840 is 70% of 1200 → x =30%; then 2x=60% so new SP =40% of 1200 = ₹480
Using the discount value directly instead of converting it to a percentage of the original price
Find x
1200840=0.7=1−100x⇒100x=0.3⇒x=30%
100x=0.3
Compute 2x
2x=2×30%=60%
2x=60%
New selling price
SPnew=1200×(1−10060)=1200×0.4=₹480
SPnew=₹480
No option matches the computed selling price of ₹480
The same percentage‑discount method is used in profit‑and‑loss questions where profit or loss is expressed as a percent of cost price.
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