Question : Study the given pie charts and answer the question that follows.
The number of students who passed the examination from institute C is what percentage of the total number of students who appeared from institutes D and E?
Option 1: 56.25%
Option 2: 54.25%
Option 3: 52.1%
Option 4: 58.3%
Correct Answer: 56.25%
Solution :
Total Number of Students passed = 900
The number of students who passed the examination from institute C = 30$^\circ$
= $(\frac{30}{100}\times 900)$
= 270
Total Number of Students appeared = 1200
The number of students who appeared from institutes D = 105$^\circ$
= $(\frac{105}{360}\times 1200)$
= 350
The number of students who appeared from institutes E = 39$^\circ$
= $(\frac{39}{360}\times 1200)$
= 130
The total number of students who appeared from institutes D and E = (350 + 130) = 480
Now,
The number of students who passed the examination from institute C to the total number of students who appeared from institutes D and E
= $(\frac{270}{480}\times 100)$
= 56.25%
$\therefore$ The required percentage is 56.25%
Hence, the correct answer is 56.25%.
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