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The sale bill of an article after two successive discounts of 20% each is ₹16,000. The MRP of the article is:
₹25,000
₹25,220
₹24,000
₹24,560
₹25,000
Use the multiplier method: 16000×80100×80100=16000×1.25×1.25=25000.
Final Price after two successive 20% discounts = ₹16,000.
MRP×(1−100d1)×(1−100d2)=Sale Price
Use the multiplier method: 16000×80100×80100=16000×1.25×1.25=25000.
A common mistake is to add the discounts (20% + 20% = 40%) and apply 60% of the MRP, which is incorrect for successive discounts.
Define the formula
The formula for successive discounts is based on multiplying the remaining percentage of the MRP.
MRP×(1−0.20)×(1−0.20)=16,000
Simplify
Calculating the multipliers, we get 0.8 for each discount.
MRP×0.8×0.8=16,000
Calculate MRP
Divide the final sale price by the product of the multipliers.
MRP=0.6416,000=25,000
A is correct because the successive discounts reduce the MRP by 36% overall (not 40%), resulting in an MRP of ₹25,000.
This concept is identical to compound interest depreciation where the principal decreases over time based on a constant rate.
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