The loss made by selling 17pen at 720$ is equal to the cost price of 5 pen. What is the cost price of one pen?

Let the cost price of one pen be $ x $ dollars.

According to the problem, the loss made by selling 17 pens at $720 is equal to the cost price of 5 pens. We can write this in terms of an equation.

1. The cost price of 17 pens = $ 17x $.
2. The selling price of 17 pens = $720.
3. Loss is given by the difference between the cost price and the selling price, which is:
   \[
   \text{Loss} = 17x - 720
   \]

This loss is equal to the cost price of 5 pens, which is $ 5x $.

Thus, we have the equation:
\[
17x - 720 = 5x
\]

Now, solving for $ x $:

\[
17x - 5x = 720
\]
\[
12x = 720
\]
\[
x = \frac{720}{12}
\]
\[
x = 60
\]

Thus, the cost price of one pen is **$60**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:
1. What is the selling price per pen?
2. How would the loss be calculated if the selling price was $800 instead?
3. What if the loss was equal to the cost price of 10 pens instead of 5 pens?
4. How would the profit be calculated if the pens were sold for more than the cost price?
5. How do you calculate profit percentage in such cases?

**Tip:** Always remember to carefully set up equations based on given word problems; defining variables is key to finding the right solution.

The loss made by selling 17 pens at 720$ is equal to the cost price of 5 pens. What is the cost price of one pen?

Solve the problem of finding the cost price of one pen, where the loss made by selling 17 pens at $720 equals the cost price of 5 pens. This example covers algebraic concepts and linear equations, suitable for students in Grades 6-8.

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