Question : The given chart shows the distribution of the marks scored by Ram in five different subjects (in percentage).
What is the ratio of the central angle of Maths to the central angle of Science?
Option 1: 5 : 2
Option 2: 2 : 3
Option 3: 4 : 3
Option 4: 3 : 5
Correct Answer: 2 : 3
Solution :
According to the question
For maths:
⇒ $\theta$ for maths = $\frac{20}{100}$ × 360° = 72°
For Science
⇒ $\theta$ for science = $\frac{30}{100}$ × 360° = 108°
Ratio = $\frac{\theta ~\text {for maths}}{\theta ~\text{for science}}$ = $\frac{72°}{108°}$ = $\frac{2}{3}$ = 2 : 3
Hence, the correct answer is 2 : 3.
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