Discussion
In a pie chart, the marks obtained by a student in Mathematics, Science, Social Science, Hindi and English are respectively represented by sectors of central angles 90°, 80°, 65°, 75° and 50°. If the total marks obtained by the students were 540, then what is the difference of the marks obtained by him/her in Mathematics and English ?
Answer: A
The difference is 60 marks.
The whole pie of 360° represents 540 marks, so each degree stands for 1.5 marks. Mathematics has 90° and English 50°:
\[ \begin{aligned} \text{Difference} &= (90 - 50) \times \frac{540}{360} \\ &= 40 \times 1.5 = 60 \end{aligned} \]
40 is the difference in degrees, forgetting to convert to marks.
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