If Red part in the following pie chart is 40, what is White part?
Yellow = $\frac{1}{4}$
Blue = $\frac{1}{8}$
White = $\frac{1}{8}$
Red = $\frac{1}{2}$

The correct answer is Option 10.

Let us solve this problem step-by-step using the fractions representing the parts of the pie chart.

From the given data, we are provided with the fraction representation of each colored part in the pie chart:
• Red part fraction = $\frac{1}{2}$
• White part fraction = $\frac{1}{8}$

We are given that the actual value of the Red part is 40.

Let the total value of the pie chart be $X$.

Using the information for the Red part:
$\frac{1}{2}\times X=40$

Multiplying both sides by 2 gives the total value:
$X=40\times 2=80$

Now, we can find the value of the White part by multiplying its fraction by the total value $X$:
$\text{White part}=\frac{1}{8}\times 80$

$\text{White part}=10$

Therefore, the White part is equal to 10.