Question

Ray is shopping for a new TV. Music Hut is advertising a sale on TVs for 75% of their original price and Ray has a coupon for an additional 10% discount. If the TV he wants to buy has an original price of $600, how much will Ray pay before tax?

Answer 1

With the coupon Ray should pay `90%` of `75%` of `$600` or `$405` (before taxes).

Explanation:

Pre-tax cost before coupon:
`color(white)("XXX")75%xx$600`

`color(white)("XXX")=75/100xx$600`

`color(white)("XXX")=$75xx6`

`color(white)("XXX")=$450`

`10%` coupon discount:
`color(white)("XXX")10%xx$450`

`color(white)("XXX")=$45`

Pre-tax cost after coupon:
`color(white)("XXX")$450=$45`

`color(white)("XXX")=$405`

...or `90%xx$450=(9cancel(0))/(1cancel(0)cancel(0))xx$45cancel(0)= $405`