Question : Study the given pie chart and answer the question that follows.
Break-up (degree-wise) of the number of students in five schools (A, B, C, D and E) in a city.
Total number of students = 5200
If the ratio of the number of boys to girls in school B is 7 : 6 and the ratio of the number of boys to girls in school D is 4 : 5, then what is the ratio of the number of boys in B to that of girls in D?
Option 1: 12 : 13
Option 2: 13 : 12
Option 3: 14 : 13
Option 4: 13 : 14
Correct Answer: 14 : 13
Solution :
According to the question
Number of boys in school B (in degrees) = 72º × $\frac{7}{13}$
Number of girls in school D (in degrees) = 64.8º × $\frac{5}{9}$
⇒ Ratio = 72º × $\frac{7}{13}$ : 64.8º × $\frac{5}{9}$ = 14 : 13
Hence, the correct answer is 14 : 13.
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