A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold. What is the customer's total cost for the DVD?

The customer's total cost for the DVD is $19.26

Step-by-step explanation:

Store buy the dvd for $12.00.

The store price is $12.00+50% more

The store price = $12.00 * (1+0.5) = $18.00

Final price (tax added) = $18.00 + 7%

Final price = $18.00 * (1 + 0.07) = $19.26

The total cost of the DVD for the consumer was 19.26 $

Step-by-step explanation:

The sales price for the DVD was the price paid by the store plus 50%. To discover this value we will transform the percentage in a real number, by dividing it by 100, like following:

50/100 = 0.5

We then multiply this value by the price paid by the store (12) to find out how much is 50% of that. Then we add this value to the price paid by the store and we obtain the price of the DVD before taxes. So we do as following:

Price before taxes = price paid by the store + (price paid by the store) * 0.5

Price before taxes = 12 + 12*0.5 = 18 $

On top of that there was 7% of tax for the consumer. We must repeat the same steps as before but using 7 instead of 50. So we have:

Final price = Price before taxes + (Price before taxes) * (7/100)

Final price = 18 + 18*0.07 = 19.26 $

The total cost of the DVD for the consumer was 19.26 $