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**Hint:**In order to find the percentage change when \[64\] is increased to\[144\], firstly we must subtract the old value from the new value and then we must divide it with the old value. Upon obtaining the value, we must multiply it with \[100\] in order to find the percentage. This obtained result will be the required value.

**Complete step-by-step solution:**

Now let us learn about percentages. Percent means nothing but per every hundred. Firstly, determine the total or complete amount. Next we have to divide the number that is to be expressed as a percent by the total. Generally, in most of the cases we will be dividing the smaller number by the larger number. Lastly, we have to multiply the result with hundred and we can obtain the required result.

Now let us find out the percentage change when \[64\] is increased to \[144\].

We can simply apply the formula to find the percentage change.

The formula is \[\dfrac{\text{New value-Old value}}{\text{old value}}\times 100\]

We have the new value as \[144\] and old value as \[64\].

Upon substituting these values in the formula, we obtain

\[\begin{align}

& \dfrac{144-64}{64}\times 100 \\

& \Rightarrow \dfrac{80}{64}\times 100=1.25\times 100=125 \\

\end{align}\]

**\[\therefore \] The percentage change when \[64\] is increased to \[144\] is \[125\%\].**

**Note:**We have to calculate it with respect to the old value as we are finding the change from the old number to the new number. We can apply percentages in our everyday life in calculating the grades or scores, in calculating the profit or loss percentage, discount percentage also the blood content in a body and many more.

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