An item is on sale at 30% off the regular price. it is taxed at a rate of 6%. if the final sale price including tax is $37.10, then what is the sale price of the item without tax? what was the regular price of the item?

1. The price without tax is $ 35

2. The regular price of the item was $ 50

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Sale percentage of an item = 30% off the regular price

Tax rate = 6%

Final sale price of the item, including tax = $ 37.10

2. What is the sale price of the item without tax? What was the regular price of the item?

For answering the first question, we will use the Direct Rule of Three, this way:

Price         Percentage

37.10            106%

   x               100%

106x = 37.10 * 100

106x = 3,710

x = 3,710/106

x = 35

The price without tax is $ 35

Now, using again Direct Rule of Three, we calculate the regular price of the item, as follows:

Price         Percentage

  35            70%

   x               100%

70x = 35 * 100

70x = 3,500

x = 3,500/70

x = 50

The regular price of the item was $ 50