Final answer:
To calculate the sales taxes owed, the total amount including the sales price plus 5% sales tax is divided by 1.05 to find the sales price before tax and then multiplied by 0.05 to find the amount of sales tax, resulting in $12,500.
The correct option is A.
Step-by-step explanation:
To find the amount of sales taxes owed, we need to determine the portion of the $262,500 that represents the sales tax. The total amount includes both the sales price and the 5% sales tax. We can let S represent the sales price before tax. The equation to represent the total amount collected including sales tax is:
S + 0.05S = $262,500
This simplifies to:
1.05S = $262,500
To find the sales price before tax, we divide the total amount by 1.05:
S = $262,500 / 1.05
S = $250,000
Now, we calculate the amount of sales tax by multiplying the sales price before tax by the tax rate:
Amount of sales tax = $250,000 × 0.05
Amount of sales tax = $12,500
Therefore, the amount of the sales taxes owed to the taxing agency is $12,500, which makes option A correct.
The correct option is A.