Question

How many parts should be shaded in figure B to make it represent the same fraction as the shaded part of figure A?

• A. 3
• B. 5
• C. 8
• D. 12

Answer 1

The correct option is B

5

Figure A is divided into four equal parts, out of which, one is shaded.
$\Rightarrow$ Figure A represents $\frac{1}{4}$.
Figure B is divided into twenty equal parts.
Here, we need a fraction which is equivalent to the fraction $\frac{1}{4}$ and having 20 as the denominator since figure B has twenty parts.
$\Rightarrow \frac{1}{4}=\frac{x}{20}$
By cross-multiplication,
$\Rightarrow 4x=20$
$\Rightarrow x=5$
Therefore, the ratio equivalent to ratio $\frac{1}{4}$ is $\frac{5}{20}$.
So, 5 parts should be shaded in figure B.