Question

The discounted price of a coat is 70% of the origanal price this is a saving of $18 what will be the final cost of the coat after the discount is taken and a sales tax of 10% is added?

Answer 1

$46.2

Explanation:

The coat is originally priced higher but is being bought on a discount. You'd purchase 70% of the original price. This means the percent off the original price is 30%. The 30% off gives you $18 in savings. We can write a proportion. We know that $18 is 30% of an unknown original price. Let's call it x. We write equal ratios of
`(30)/(100)` comparing percent and
`(18)/(x)` comparing the 18 to the total price. We then set them equal.

`(30)/(100)=(18)/(x)`

We then cross multiply across the equal sign from numerator to the opposite numerator.

30(x)=18(100)

30x=1800

We divide to find x.

x=60.

$60 is the original price of the coat. If we subtract $18 (the savings) from $60 we find the discount price. 60-18=42.

We will pay $42 plus sales tax of 10%. We multiply 0.10(42)=4.2 and add it to the discounted price. 42+4.2=$46.2.