Question

A TV that usually sells for $178.09 is on sale for 30% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

Answer 1

$178.09 \times \frac{70}{100}\times \frac{105}{100} = \frac{178.09 \times 70 \times 105}{100\times 100} = \frac{1308961.5}{10000} = 130.89615 \approx \boxed{130.90}$

Your answer is $130.90

Note: We multiply by 70/100 because of the 30% discount. 100 - 30 = 70. So we have to multiply by 70%.

Also, we multiply by 105/100 because there is 5% tax. The tax means that we have to pay more which means 100 + 5 = 105.

Hope this helped :D

Answer 2

Since the TV is on sale for 30%, we can either multiply 178.09 by 30% and then subtract that from 178.09, or we can just multiply 178.09 by 70%. The latter is an easier process.

The sales tax is 5%. We can either multiply by 5% and then add this to the total cost, or we can just easily multiply by 105% to make our calculations simpler.

$178.09\times \frac{70}{100} \times \frac{105}{100} = 178.09 \times 0.7\times 1.05 = \boxed{130.90}$