Question : The marked price of an article is 150 percent of the cost price. If a 20 percent discount is given, then what will be the profit percentage?
Option 1: 20 percent
Option 2: 12.5 percent
Option 3: 25 percent
Option 4: 10 percent
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Correct Answer: 20 percent
Solution :
According to the question,
Marked Price = 150% of cost price
$\therefore$ $\text{MP} = 1.5\text{C}$
After a 20% discount, the selling price (SP) is given by:
SP $=$ Marked Price $−$ Discount
⇒ SP $=1.5\text{C}−0.2\times1.5\text{C}=1.2\text{C}$
⇒ Profit $=$ SP $−$ CP $=1.2\text{C}−\text{C}=0.2\text{C}$
Profit Percentage = $\frac{\text{Profit}}{\text{Cost Price}}\times 100$
$=\frac{0.2\text{C}}{C}\times 100$%
⇒ Profit Percentage = 20%
Hence, the correct answer is 20 percent.
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