Question

After 12% the cost of a new cooler is £190.40 work out the original price

Answer 1

So, say the original price is "x" pounds, namely the 100%, then it gets increased by 12% and lands on £190.40, so £190.40 is really 100% + 12% or the 112% then.

since we know that £190.40 is 112%, what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 190.40&112\\ x&100 \end{array}\implies \cfrac{190.40}{x}=\cfrac{112}{100}\implies \cfrac{190.40\cdot 100}{112}=x$

Answer 2

12% of the cost is $265.95 US dollars. the Original price is $ 2,216.25 US dollars