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The question stem image was not provided. The following are the four numerical options transcribed from the images.
340
285
280
345
340
Multiply the marked price successively by the remaining percentage multipliers: 500×0.80×0.85.
Marked Price (MP) = ₹500, First Successive Discount = 20%, Second Successive Discount = 15%
x=MP×(1−100d1)×(1−100d2)
Multiply the marked price successively by the remaining percentage multipliers: 500×0.80×0.85.
Students often add the two percentages to get a single 35% discount instead of applying them successively.
Identify Given Parameters
The marked price of the article is MP=500 and the successive discounts are d1=20% and d2=15%.
\text{MP} = 500, d_1 = 20\%, d_2 = 15\
Apply First Discount of 20%
Calculating the price after the first discount of 20%:
P1=500×(1−10020)=500×0.80=400
Apply Second Discount of 15%
Calculating the final selling price x after applying the second discount of 15% on the reduced price of ₹400:
x=400×(1−10015)=400×0.85=340
A is correct because the selling price after two successive discounts of 20% and 15% on ₹500 is ₹340.
Successive percentage changes can also be combined using the net percentage formula: a+b−100ab.
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