A refrigerator was purchased and 5% tax was added to the purchase price. If the total bill was $630, how much did the refrigerator cost?
1.05x = 630
x = .....
P + 0.05P = 630
1.05P = 630.
P =
To find the cost of the refrigerator, we need to first determine the amount of tax added to the purchase price.
Let's assume the cost of the refrigerator is 'x'.
We know that 5% of the cost (0.05x) was added as tax.
So, the total bill can be expressed as the sum of the cost of the refrigerator and the tax:
Total bill = Cost of refrigerator + Tax
$630 = x + 0.05x
Combining like terms:
$630 = 1.05x
Now, we can solve the equation for 'x' to find the cost of the refrigerator.
Dividing both sides of the equation by 1.05, we get:
$630 / 1.05 = x
Calculating the right side of the equation:
$600 = x
Therefore, the cost of the refrigerator is $600.
To find out how much the refrigerator cost, we need to start by subtracting the tax from the total bill.
First, let's determine the amount of tax applied to the purchase price. We know that the tax rate is 5%, which means it's 5/100 or 0.05 as a decimal.
So, the amount of tax paid can be calculated by multiplying the total bill by the tax rate.
Tax = Total bill * Tax rate
= $630 * 0.05
= $31.50
Now, let's find the cost of the refrigerator by subtracting the tax from the total bill.
Cost of the refrigerator = Total bill - Tax
= $630 - $31.50
= $598.50
Therefore, the refrigerator costs $598.50.