Question

A woman owns a small, cash-only business in a state that requires her to charge 6 % sales tax on each item she

sells. At the beginning of the day, she has $270 in the cash register. At the end of the day, she has $1,542.00 in
the register. How much money should she send to the state government for the sales tax she collected?

Answer 1

The collected tax is 1272 - 1200 = 72$.

Explanation:

According to the Question,

• Given That, A woman owns a small, cash-only business in a state that requires her to charge 6 % sales tax on each item she sells.
• At the beginning of the day, she has $270 in the cash register. At the end of the day, she has $1,542.00 in the register.

Therefore,

The gain in the register for the day is 1542 - 270 = 1272.

• The $1272 gain at the end of the day includes the tax that she collected. The pre-tax amount is something less than that.

Let X be the pre-tax amount.

1.06 × X = 1272

X = 1272 / 1.06 = 1200$

The collected tax is 1272 - 1200 = 72$.