Question

A garden set is listed for $663.06 less 32%, 19%, 5%. (a) What is the net price? (b) What is the total amount of discount allowed? (c) What is the exact single rate of discount that was allowed? (a) The net price is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) (b) The total amount of discount allowed is $ ) (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) (c) The single rate of discount that was allowed is %. (Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed)

Answer 1

Explanation:

Let say garden set is listed for $100.

After 32% percent discount, price will be $100 - $32 = $68

After 19% discount, price will be $\small 68 - 68\times (19/100)=55.08\$

After 5% discount, price will be $\small 55.08-55.08\times (5/100)=52.326\$

For $100 price, discounted price = $52.326

So, for $663.06 price, discounted price = $\small (52.326\times 663.06)/100 = 346.952776\$

a) Net price = $346.95

b) Total amount of discount allowed = $663.06 - $346.95 = $316.11

c)

$\small \textup{Single rate of discount =}\frac{663.06-346.95}{663.06}\times 100=47.67$

Single rate of discount that was allowed is 47.67%