Question : A shopkeeper makes a net profit of 44% on selling an article at successive discounts of 10% and 20%. Find the net profit percentage, if the shopkeeper sells the same article at a discount of 15%.
Option 1: 50%
Option 2: 70%
Option 3: 30%
Option 4: 40%
Correct Answer: 70%
Solution :
Let the cost price be CP, the selling price be SP and the marked price be MP.
Let the MP be 100.
Single discount of successive discounts of 10% and 20% = $10+20-\frac{10\times 20}{100}$ = 28%
$\therefore$ SP = 100 – 28 = 72
Given: SP = 144% of CP
⇒ $72 = \frac{144}{100}\times \text{CP}$
$\therefore$ CP = 50
If the shopkeeper sells at a 15% discount on MP, then,
SP = 100 – 15% of 100 = 85
$\therefore$ Profit percentage = $\frac{\text{SP – CP}}{\text{CP}}\times 100$
= $\frac{85-50}{50}\times 100$
= 70%
Hence, the correct answer is 70%.
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