Question

Hector purchased a brand new 2019 BMW 760.

The cost of the vehicle was $97,899.99. There is a
25% discount for cash customers, Hector paid
cash. The sales tax rate for the vehicle was 3.75%.
What was the total price of the purchases

(SHOW ALL WORK)
(PLEASE HELP)

Answer 1

To find 25% of something we are going to divide it by 4
97,899.99/4 = 24475.00(rounded to nearest 100th)
Since It is just a discount we are going to subtract 24475

97.899.99 - 24475 = 73424.99

Now we are going to find 3.75%
To make this easier we are going to multiply 3.75 by 4 so it is 15%

To again make this easier we are going to find 10% of 73424.99 (divide 73424 by 10)

10% of 73424.99 = 7342.50

Now we are going to find 5% to make it 15%

Divide 7342.50 by 2

7342.50/2 = 3671.25

Now we are going to add them together

3671.25 + 7342.50 = 11013.75

Therefore

15% of 73424.99 is 11013.75

We are now going to divide 11013.75 by 4 because we multiplied the 3.75 by 4

11013.75/4 = 2753.44

Now we are going to add this to the subtotal

73424.99 + 2753.44 = $76178.43

Hector paid a total of $76178.43

Answer 2

Step 1: Calculate percentage discount

=> $97,899.99 × 25/100

=> 97,899.99/1 × 25/100

{multiply the numerator by the numerator and the denominators by the denominators}

=> 2,447,499.75/100

divide 24,474.9975 by 100

=> 24,474.9975

=> 24,474.9975

{Substract 24,474.9975 from 97,899.99.}

=> 97,899.99 - .24,474.9975

=> 73,424.9925

Step 2: Calculate sales tax rate

Sales tax rate = price × rate/100

=> 73,424.9925 × 3.75/100

=> 275,343.7/100

=> 2,753.437

Add to 73,424.9925

=> 73,424.9925 + 2,753.437

=> 76,178.4295

=> 76,178.4 { Rounded to 1 dp)

Therefore, the total price of the purchases is 76,178.4295