Luke bought a jacket that was 30% off the cost. He paid sales tax of 6% after the discount had been applied. If the jacket had a price tag of $75, what was the actual amount that Luke paid including tax?

the actual amount that Luke paid including tax is $55.65

Step-by-step explanation:

The initial price of the jacket is $75.

Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is

30/100 × 75 = 0.3 × 75 = $22.5

The price of the jacket after the discount had been applied is

75 - 22.5 = $52.5

He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is

6/100 × 52.5 = 0.06 × 52.5 = 3.15

Therefore, the actual amount that Luke paid including tax is

52.5 + 3.15 = $55.65