2. If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is ?20% 25% 15% 5%
Question
If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is ?
- 20%
- 25%
- 15%
- 5%
Solution
The problem states that the cost price of 25 pens is equal to the selling price of 20 pens. This means that 5 pens are sold at the cost price of 5 pens. This is the profit.
Step 1: Let's assume the cost price of 1 pen is 20.
Step 2: According to the problem, the selling price of 20 pens is the same as the cost price of 25 pens, which is $25.
Step 3: The profit is the selling price minus the cost price. So, the profit for 20 pens is 20 = $5.
Step 4: To find the profit percentage, we use the formula:
Profit % = (Profit / Cost price) * 100%
Substituting the values we get:
Profit % = (20) * 100% = 25%
So, the profit percentage is 25%.
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