Question

What percentage of the given shape is blue?

• A. $50\%$
• B. $100\%$
• C. $20\%$
• D. $30\%$

Answer 1

The correct option is A $50\%$


This shape has 6 parts. 3 of the parts are blue.

Fraction of colored parts$=\frac{\text{Number of colored parts}}{\text{Total number of parts}}$
$=\frac{3}{6}$
$=\frac{3\times 1}{2\times 3}=\frac{1}{2}$

Now, write the fraction $\frac{1}{2}$ with 100 as the denominator, as percentage represents parts per hundred.

Multiplying both the numerator and denominator by 50, we get
$=\frac{1\times 50}{2\times 50}$
$=\frac{50}{100}$

Hence, $50\%$ of the shape is blue