Question

Using complements (with respect to 1) of the single discounts, find the net cost equivalents for each of the following discounts. Do not round.

20. 18/15/5
21. 20/9

Find the net cost of each of the following list prices. Round to the nearest cent.

22. $979.20 less 18/10/12
23. $7.25 less 25/15

Answer 1

Answer 20 :- Calculation of Net Cost Equivalent of the following discount: 18/15/5 :

Net cost Equivalent = Product of Compliments

= 0.82 * 0.85 * 0.95

= 0.66215 or 66.215 %

Discount = 18 % or 0.18

Compliment = (1 - 0.18) = 0.82

Discount = 15 % or 0.15

Compliment = (1 - 0.15) = 0.85

Discount = 5 % or 0.05

Compliment = (1 - 0.05) = 0.95

Answer 21 :- Calculation of Net Cost Equivalent of the following discount: 20/9 :

Net cost Equivalent = Product of Compliments

= 0.80 * 0.91

= 0.728 or 72.80 %

Discount = 20 % or 0.20

Compliment = (1 - 0.20) = 0.80

Discount = 9 % or 0.09

Compliment = (1 - 0.09) = 0.91

Answer 22 :- Calculation of Net Cost of the following discount: 18/10/12

Net Cost = List Price * Net cost Equivalent

= $ 979.20 * 0.64944

= $ 635.93

Net cost Equivalent = Product of Compliments

= 0.82 * 0.90 * 0.88

= 0.64944 or 64.944 %

Discount = 18 % or 0.18

Compliment = (1 - 0.18) = 0.82

Discount = 10 % or 0.10

Compliment = (1 - 0.10) = 0.90

Discount = 12 % or 0.12

Compliment = (1 - 0.12) = 0.88

Answer 23 :- Calculation of Net Cost of the following discount: 25/15

Net Cost = List Price * Net cost Equivalent

= $ 7.25 * 0.6375

= $ 4.62

Net cost Equivalent = Product of Compliments

= 0.75 * 0.85

= 0.6375 or 63.75%

Discount = 25 % or 0.25

Compliment = (1 - 0.25) = 0.75

Discount = 15 % or 0.15

Compliment = (1 - 0.15) = 0.85