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Total cost 2030 sales tax rate = 1.5% find the original price

2 Answers

4 votes

Answer:

$2000

Explanation:

$2030 is 101.5% (100% + 1.5%) of the original price. Create an equation and solve for X where X is the original price

Total cost 2030 sales tax rate = 1.5% find the original price-example-1
User Vicky Ahuja
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8.8k points
2 votes

well, the original price was really "x", which oddly enough is the 100% of the original price.

now, if we apply a tax of 1.5% to "x", the new value will be 100% + 1.5% = 101.5%, and we happen to know that's $2030.


\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 2030& 101.5 \end{array} \implies \cfrac{x}{2030}~~=~~\cfrac{100}{101.5} \\\\\\ 101.5x=203000\implies x=\cfrac{203000}{101.5}\implies x=2000

User Shel
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