Question

A store sold a case of scented candles for $17.85 that had been marked up 110%. What was the original price?

Answer 1

a markup, is an added amount to the product, to cover its production and distribution and others often times

so.. the product original price is "x", then it gets markup 110% of that

so.. if "x" is the 100%, or original price, the new price is really 100%+110% in price, or 210% of the original price

thus
`\bf \begin{array}{ccllll} amount&\%\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 17.85&210\\ x&100 \end{array}\implies \cfrac{17.85}{x}=\cfrac{210}{100}`

solve for "x"

Answer 2

$17.85 is 110% of the original price.

To find 1% divide this by 110:

17.85/110 = 0.16% (rounded).

Original price is 100% so 0.16*100 = $16.23 (rounded).

Check:

$16.23*1.1=$17.85 (1.1 is decimal equivalent of 110%).