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A shopkeeper offered successive discounts of 10% and 15% on an article with the marked price of ₹28,000. Find the selling price of the article.
₹21,240
₹22,140
₹21,420
₹21,402
₹21,420
Calculate successive discounts by multiplying the remaining percentages: 28000×0.9×0.85. Or use the effective discount percentage formula: Deff=d1+d2−(d1×d2/100)=10+15−1.5=23.5%, then SP=28000×(1−0.235)=28000×0.765=21420.
Marked price (MP) = ₹28,000, Successive discounts = 10% and 15%
SP=MP×(1−100d1)×(1−100d2)
Calculate successive discounts by multiplying the remaining percentages: 28000×0.9×0.85. Or use the effective discount percentage formula: Deff=d1+d2−(d1×d2/100)=10+15−1.5=23.5%, then SP=28000×(1−0.235)=28000×0.765=21420.
Many students add the discounts to get 25% and calculate 75% of ₹28,000, which results in an incorrect answer (₹21,000).
Apply first discount
The first discount is 10%. Subtracting 10% from the marked price: 28000×(1−0.10)=28000×0.9=25200.
28000×0.9=25200
Apply second discount
Apply the second discount of 15% on the discounted price of 25200: 25200×(1−0.15)=25200×0.85.
25200×0.85=21420
Final Result
The final selling price after both successive discounts is calculated as ₹21,420.
SP=21420
C is correct because the final selling price after successive discounts of 10% and 15% on ₹28,000 is ₹21,420.
This logic is identical to calculating Compound Interest where the 'discounted amount' becomes the new principal for the next period.
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