Jane bought a bag for P 120.xx during a sale. If the original sale cost was P 200.00.
a. What part of the original cost is the discount?
b. What % of the selling price was the discount?

Let's solve the problem step by step.

### a. What part of the original cost is the discount?
The discount is the difference between the original price and the sale price.

\[
\text{Discount} = \text{Original Price} - \text{Sale Price}
\]

Given:
- Original Price = P 200.00
- Sale Price = P 120.xx (Let's call the last two digits "yy")

So,

\[
\text{Discount} = 200.00 - 120.yy
\]

This is the part of the original cost that is the discount.

### b. What % of the selling price was the discount?
To find the percentage of the selling price that was the discount, use the formula:

\[
\text{Discount Percentage} = \left(\frac{\text{Discount}}{\text{Original Price}}\right) \times 100\%
\]

Substituting the values:

\[
\text{Discount Percentage} = \left(\frac{200.00 - 120.yy}{200.00}\right) \times 100\%
\]

This will give the discount as a percentage of the original price.

If you provide the exact sale price (including the last two digits), I can give you the precise discount amount and percentage.

Would you like to proceed with the calculation by specifying the sale price? 

### Follow-Up Questions:
1. What would be the discount if the sale price was P 150.50?
2. How would the percentage change if the sale price was P 100.00?
3. What is the percentage discount if the sale price is exactly 50% of the original price?
4. If Jane received a further 10% discount on the sale price of P 120.yy, what would be the final price?
5. How much more would Jane have paid if the original price was P 250.00?
6. How do you calculate the final price after a discount is applied?
7. What would be the new discount percentage if the original price was increased to P 220.00?
8. If another store offers a 40% discount, how does it compare to Jane's discount?

### Tip:
When calculating percentages, always ensure that the base value (the denominator) accurately represents the context of the problem.

Explore how to calculate discounts and percentages in math. Solve problems like determining the discount amount and percentage of the original price when a product is bought at a sale price. Suitable for Grades 6-8.

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