Question:
If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage profit is :
If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage profit is :
Updated On: Dec 30, 2025
- 12%
- 20%
- 40%
- 25%
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The Correct Option is D
Solution and Explanation
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.
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