https://file.aiquickdraw.com/mathbot/file/1727005651742urlgjp5t.jpg

Let's break down the problem:

We are given the following information:

- The selling price (SP) of 6 pens is equal to the cost price (CP) of 4 pens.
- We need to find the profit percentage.

### Step-by-step solution:

1. **Let the cost price of one pen be \( C \).**
   - Therefore, the cost price of 4 pens is \( 4C \).

2. **Let the selling price of one pen be \( S \).**
   - Therefore, the selling price of 6 pens is \( 6S \).

3. **According to the problem:**
   \[
   6S = 4C
   \]
   - Dividing both sides by 6 to find the selling price of one pen in terms of cost price:
   \[
   S = \frac{4C}{6} = \frac{2C}{3}
   \]

4. **Profit is given by the formula:**
   \[
   \text{Profit} = \text{Selling Price} - \text{Cost Price}
   \]
   Substituting the values of \( S \) and \( C \):
   \[
   \text{Profit} = \frac{2C}{3} - C = \frac{2C}{3} - \frac{3C}{3} = -\frac{C}{3}
   \]
   Therefore, the profit per pen is \( \frac{C}{3} \).

5. **Profit percentage is calculated as:**
   \[
   \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100
   \]
   Substituting the profit value:
   \[
   \text{Profit Percentage} = \left( \frac{\frac{C}{3}}{C} \right) \times 100 = \frac{1}{3} \times 100 = 33.33\%
   \]

### Final Answer:
The profit percentage is **33.33%**.

Do you need further details or have any questions?

### 5 Related Questions:
1. What is the general formula for calculating profit percentage?
2. If the cost price of 5 pens equals the selling price of 8 pens, what would the profit or loss percentage be?
3. How would the result change if the selling price was equal to the cost price of 5 pens?
4. Can the profit percentage ever exceed 100%? Under what conditions?
5. What would be the loss percentage if the selling price was less than the cost price?

### Tip:
When calculating profit percentage, always ensure that both profit and cost price are related to the same quantity to avoid confusion.

The selling price of 6 pen is equal to cost price of 4 pen. Find the profit percent?

Learn how to calculate the profit percentage when the selling price of 6 pens is equal to the cost price of 4 pens. This problem uses basic profit and loss formulas and ratios, making it suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation