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Examoogle • User • info@examoogle.com • EE-2024-8821
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An article is sold for ₹x after offering two successive discounts of 25% and 8% on its marked price of ₹500. The value of x is:
285
280
300
345
345
Calculate successive percentage: 25+8−10025×8=33−2=31%. Then find 69% of 500, which is 0.69×500=345.
Marked Price (MP) = ₹500, First discount = 25%, Second discount = 8%.
x=MP×(1−100d1)×(1−100d2)
Calculate successive percentage: 25+8−10025×8=33−2=31%. Then find 69% of 500, which is 0.69×500=345.
Students often incorrectly add the percentages (25%+8%=33%) and calculate 500−33%=335, forgetting that the second discount applies to the discounted price.
Calculate the first discounted price
Apply the first discount of 25% to the Marked Price of ₹500.
500×(1−10025)=500×0.75=375
Calculate the final price after the second discount
Apply the second discount of 8% to the intermediate price of ₹375.
375×(1−1008)=375×0.92=345
Verification
The value of x is the final selling price after both discounts are applied sequentially.
x=345
D is correct because applying successive discounts of 25% and 8% to ₹500 results in a final selling price of ₹345.
This concept is identical to compound interest calculations where the principal changes every cycle, and is also frequently used in calculating final price after successive tax increments (GST).
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