Question

If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage profit is :

• A. 12%
• B. 20%
• C. 40%
• D. 25%

Answer 1

The Correct Option is D

To solve the problem, we need to find the percentage profit when the selling price of 320 web cameras is equal to the cost price of 400 web cameras.

Let's denote:

• Cost Price (CP) of one web camera = \(x\) 

Then:

• Cost Price of 400 web cameras = \(400x\)

According to the given information, the Selling Price (SP) of 320 web cameras is equal to the Cost Price of 400 web cameras:

• Selling Price of 320 cameras = Cost Price of 400 cameras
• \(\text{SP}_{320} = 400x\)

The selling price of one web camera can be calculated as:

• Selling Price of one web camera = \(\frac{400x}{320}\)

Simplifying this gives:

• Selling Price of one web camera = \(\frac{5x}{4}\)

The Profit per camera can be determined as:

• Profit = Selling Price - Cost Price
• Profit = \(\frac{5x}{4} - x\)
• Profit = \(\frac{5x - 4x}{4} = \frac{x}{4}\)

The percentage profit is calculated using the formula:

• Percentage Profit = \(\left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100\%\)

Substituting the values, we get:

• Percentage Profit = \(\left(\frac{x/4}{x}\right) \times 100\%\)
• Percentage Profit = \(\frac{1}{4} \times 100\%\)
• Percentage Profit = 25%

Thus, the percentage profit is 25%.

This confirms that the given answer option is correct.