At a sale, suits were sold for [tex]$130 each. If the suits originally cost $[/tex]200 each, what percentage of the original price was a suit sold for?



Answer :

To determine what percentage of the original price the suit was sold for, let's follow these steps:

1. Identify the original price and the sale price:
- The original price of the suit was [tex]$200. - The sale price of the suit was $[/tex]130.

2. Determine the fraction of the original price that the sale price represents:
- To do this, divide the sale price by the original price.
[tex]\[ \text{Fraction} = \frac{\text{Sale Price}}{\text{Original Price}} = \frac{130}{200} \][/tex]

3. Convert the fraction to a percentage:
- To convert a fraction to a percentage, multiply it by 100.
[tex]\[ \text{Percentage} = \left( \frac{130}{200} \right) \times 100 \][/tex]

4. Calculate the value:
- Perform the division first:
[tex]\[ \frac{130}{200} = 0.65 \][/tex]
- Then multiply by 100 to get the percentage:
[tex]\[ 0.65 \times 100 = 65 \][/tex]

So, the suit was sold for 65% of its original price.