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

Question

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

Team Careers360 · Accepted Answer

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 = $\frac{ ext{Selling Price − Cost Price}}{ ext{cost price}}$×100 = $\frac{2 × CP – CP}{CP}$×100 = $\frac{CP}{CP}$×100 = 100%
Hence, the correct answer is 100%.

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Question : 40 percent of the selling price of a fan is equal to 45 of the cost price of the fan. What is the profit percentage?Option 1: 150 percentOption 2: 125 percentOption 3: 100 percentOption 4: 120 percent

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Question : 40 percent of the selling price of a fan is equal to $\frac{4}{5}$ 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