Question

A house on the market was valued at $314,000. After several years, the value increased by 17%. By how much did the house’s value increase in dollars? What is the current value of the house ?

Answer 1

if we take 314000 to be the 100%, what is the 17% anyway?

$\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 314000&100\\ x&17 \end{array}\implies \cfrac{314000}{x}=\cfrac{100}{17}\implies \cfrac{314000\cdot 17}{100}=x$

so the house increased by "x", and the new amount is 314000 + x.