Question

Sally buys a hand bag. There was a discount of 30%. If sally paid $20
what was the original price

Answer 1

let's say the original price was "x", which is the 100%, we know she paid $20, but is discounted by 30%, so the 20 bucks is really 100% - 30% or 70%.

so we know $20 is 70%, what is "x" anyway?

$\bf \begin{array}{ccll} \ {data-answer}amp;\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 20&70\\ x&100 \end{array}\implies \cfrac{20}{x}=\cfrac{70}{100}\implies \cfrac{20\cdot 100}{70}=x$

Answer 2

The original price of the hand bag would be $34 without the discount.