Question

Find the absolute change and the percentage change for the given situation 150 increased to 861

Answer 1

Given that 150 is increased to 861

The absolute change formula is

`\text{Absolute Change}=New\text{ value - Old value}`

Where

The new value = 861

The old value = 150

The absolute change is

`\text{Absolute Change}=861-150=711`

Hence, the absolute change is 711

The formula for percentage is

`Percentage\text{ change}=\frac{New\text{ value-Old value}}{Old\text{ value}}*100\text{\%}`

Substitute the values into the percentage change formula

`\begin{gathered} Percentage\text{ change}=\frac{New\text{ value-Old value}}{Old\text{ value}}*100\text{\%} \\ Percentage\text{ change}=(861-150)/(150)*100\text{\%} \\ Percentage\text{ change}=(711)/(150)*100\text{\%}=4.74*100*=474\text{\%} \\ Percentage\text{ change}=474\text{\%} \end{gathered}`

Hence, the percentage change is 474% increase