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A shopkeeper sells an item for ₹840 after giving a discount of x% on the marked price. If the marked price is ₹1200, and a second discount of the same nominal value (in ₹) is given, what is the value of x?
20
25
30
35
30
Directly subtract the selling price from the marked price to find the absolute discount in rupees, then find its percentage relative to the marked price.
Marked Price = ₹1200, Selling Price = ₹840
Discount=Marked Price−Selling Price
Directly subtract the selling price from the marked price to find the absolute discount in rupees, then find its percentage relative to the marked price.
Confusing the absolute nominal value of the discount in rupees with the percentage value x.
Calculate the Discount Amount
Subtract the selling price from the marked price to find the total discount given in rupees: Discount=1200−840=360
Discount=1200−840=360
Relate Discount to Percentage x
Since the discount of x% is given on the marked price, set up the percentage equation: x% of 1200=360
100x×1200=360
Solve for x
Isolate x by dividing 360 by 12 and simplifying: x=12360=30
x=1200360×100=30
C is correct because the value of x calculated from the discount percentage is 30.
Mastering the relationship between absolute values and percentages helps quickly solve complex successive discount and profit-loss problems in competitive exams.