If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is?
25%
To find the profit percent, we need to understand the relationship between the cost price (CP) and the selling price (SP) given in the problem.
According to the question, the cost price of 25 pens is equal to the selling price of 20 pens.
- Let the cost price of 1 pen be \(C\).
- Then, the cost price of 25 pens will be \(25C\).
- Let the selling price of 1 pen be \(S\).
- Therefore, the selling price of 20 pens is \(20S\).
From the problem, we have:
\(25C = 20S\)
We need to find the profit percent, which is given by the formula:
\(\text{Profit Percent} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100\)
First, let's find the value of \(C\) in terms of \(S\):
\(C = \frac{20S}{25} = \frac{4S}{5}\)
Now, the profit for each pen will be:
\(\text{Profit} = S - C = S - \frac{4S}{5} = \frac{S}{5}\)
Thus, the profit percent is:
\(\text{Profit Percent} = \left(\frac{\frac{S}{5}}{\frac{4S}{5}}\right) \times 100 = \left(\frac{1}{4}\right) \times 100 = 25\%\)
Hence, the profit percent is 25%.
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