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The marked price of an item was ₹2,000, but the shopkeeper offered successive discounts of 20% and 15% on its sale. How much did he finally sell the item for?
₹1,360
₹1,380
₹1,260
₹1,280
₹1,360
Calculate the effective discount using deff=d1+d2−100d1×d2=20+15−3=32%. Then, SP=2000×(100−32)%=2000×0.68=1360.
Marked price (MP) = ₹2,000, Successive discounts = 20% and 15%.
SP=MP×(1−100d1)×(1−100d2)
Calculate the effective discount using deff=d1+d2−100d1×d2=20+15−3=32%. Then, SP=2000×(100−32)%=2000×0.68=1360.
Many students calculate the discount as 20%+15%=35% and apply it directly to the marked price, ignoring the successive nature of the discounts.
Calculate price after first discount
Apply the first discount of 20% to the marked price of ₹2,000.
2000×(1−10020)=2000×0.8=1600
Calculate price after second discount
Apply the second discount of 15% to the intermediate price of ₹1,600.
1600×(1−10015)=1600×0.85=1360
Final Verification
The final selling price obtained is ₹1,360, which matches option A.
SP=1360
A is correct because applying a 20% discount on ₹2,000 gives ₹1,600, and a further 15% discount on ₹1,600 results in ₹1,360.
Successive discounts are equivalent to compound interest calculations in reverse; always multiply the successive factors (1−d/100) together.
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