Shree purchased a new speaker for his DJ Booth. He spent [tex]$425, and the speaker normally retails for $[/tex]605. What percent of a discount did he get?

Select one:
A. Answer not listed
B. $180.00
C. 29.75%
D. 70.25%



Answer :

To determine what percent discount Shree received on his purchase, let's follow these steps:

1. Determine the amount of discount:
- The retail price of the speaker is [tex]$605. - Shree paid $[/tex]425 for the speaker.
- The amount of discount can be found by subtracting the sale price from the retail price:
[tex]\[ \text{Discount Amount} = 605 - 425 = 180 \][/tex]

2. Calculate the percent discount:
- Percent discount is calculated by taking the discount amount, dividing it by the retail price, and then multiplying by 100 to convert to a percentage:
[tex]\[ \text{Percent Discount} = \left( \frac{180}{605} \right) \times 100 \][/tex]
- Solving this, we get:
[tex]\[ \text{Percent Discount} \approx 29.75\% \][/tex]

Therefore, Shree received a discount of [tex]$180, or approximately 29.75%. So the correct options are: - Discount amount: $[/tex]180.00
- Percent discount: 29.75%

The correct answer is c. 29.75%.