Question

David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.

Answer 1

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

$d =19\%$

The price (p) of the item is given as:

$p = \ 32$

So, the amount (A) paid before tax is calculated using:

$A = p \times (1 - d)$

Substitute known values

$A = \ 32 \times (1 - 19\%)$

Express percentage as decimal

$A = \ 32 \times (1 - 0.19)$

Subtract 0.19 from 1

$A = \ 32 \times 0.81$

Multiply 32 and 0.81

$A = \ 25.92$

Hence, David will pay $25 and 92 cents for an item of $32, before tax

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