Question : Study the pie chart and answer the options:-
If the ratio of male and female students specializing in B is 4 : 3 and that of male and female students specializing in D is 8 : 7, then the number of female students in D is what percent less than the number of male students in B (correct to one decimal place)?
Option 1: 41.7
Option 2: 40.2
Option 3: 55.8
Option 4: 71.4
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Correct Answer: 41.7
Solution :
Total number of students in B = $2100 × \frac{75.6^\circ}{360^\circ}= 441$
The ratio of male and female students in B = 4 : 3
Number of male students in B = $441 × \frac{4}{7} = 252$
Number of female students in B = 441 – 252 = 189
Total number of students in D = $2100 × \frac{54^\circ}{360^\circ}= 315$
The ratio of male and female students in D = 8 : 7
Number of male students in D = $315 × \frac{8}{15} = 168$
Number of female students in D = 315 – 168 = 147
Required percentage = $\frac{105}{252} × 100= 41.7\%$
Hence, the correct answer is 41.7%.
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