Question : Study the given pie chart and answer the question that follows.
Break up (degree-wise) the number of students in five schools (A, B, C, D, and E) in a city.
Total number of students = 5200
If the total number of students in schools D and E exceeds the number of students in school A by x, then x lies between:
Option 1: 500 and 525
Option 2: 475 and 500
Option 3: 525 and 550
Option 4: 550 and 575
Correct Answer: 500 and 525
Solution :
According to the question
Number of students in schools D and E = 64.8º + 57.6º = 122.4º
School A = 86.4º
Now,
⇒ Number of students in D and E = $\frac{\text{Number of student in schools D and E}}{360º }$ = $\frac{122.4º – 86.4º}{360º}$ × 5200
= $\frac{36º}{360º}$ × 5200 = 520
Hence, the correct answer is 520 and 525.
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