Question : 40 percent of the selling price of a fan is equal to $\frac4{5}$ of the cost price of the fan. What is the profit percentage?
Option 1: 150 percent
Option 2: 125 percent
Option 3: 100 percent
Option 4: 120 percent
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Correct Answer: 100 percent
Solution : Let's the cost price of the fan as CP and the selling price as SP ⇒ 40% × SP = $\frac{4}{5}$×CP ⇒ 0.4 × SP = $\frac{4}{5}$ × CP Now, let's solve for the selling price SP: ⇒ SP = $\frac{\frac{4}{5}×CP}{0.4}$ = $\frac{4}{5}$ × $\frac{1}{0.4}$ × CP = 2 × CP ⇒ Profit Percentage = $\frac{\text{Selling Price − Cost Price}}{\text{cost price}}$×100 = $\frac{2 × CP – CP}{CP}$×100 = $\frac{CP}{CP}$×100 = 100% Hence, the correct answer is 100%.
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Question : If 2 times of selling price is equal to 3 times of cost price, then what is the profit percentage?
Option 1: 4 percent
Option 2: 40 percent
Option 3: 25 percent
Option 4: 50 percent
Question : If the cost price is 40% of the selling price, then what is the profit percent?
Option 1: 50%
Option 2: 200%
Option 3: 100%
Option 4: 150%
Question : 40% of the cost price of an article is equal to 25% of its selling price. What is the profit percentage?
Option 1: 150%
Option 2: 120%
Option 3: 50%
Option 4: 60%
Question : 40 percent of the cost price of an article is equal to 24 percent of its selling price. What is the profit percentage?
Option 1: 60 percent
Option 2: 50 percent
Option 3: 66.66 percent
Option 4: 52.5 percent
Question : The marked price of an article is 150 percent of the cost price. If a 30 percent discount is given, then what will be the profit percentage?
Option 1: 3 percent
Option 2: 5 percent
Option 3: 6 percent
Option 4: 4 percent
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