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Study the pie-chart and answer the options: Break up (degree wise) of students in terms of specialization in different areas (A, B, C, D & E) in an MBA program. If the ratio of male and female students specialising in B is 4 : 3 and that of male and female students specialising in D is 8 : 7, then the number of female students in D is what per cent less than the number of male students in B (correct to one decimal place)?  

Study the pie-chart and answer the options: Break up (degree wise) of students in terms of specialization in different areas (A, B, C, D & E) in an MBA program. If the ratio of male and female students specialising in B is 4 : 3 and that of male and female students specialising in D is 8 : 7, then the number of female students in D is what per cent less than the number of male students in B (correct to one decimal place)?   Correct Answer 41.7

Given:

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Calculation:

Total number of students in B = 2100 × (75.6° /360° ) 

⇒ (21 × 756)/36 = 441

The ratio of male and female students in B = 4 : 3

Number of male students in B = 441 × 4/7 = 252

Number of female students in B = 441 - 252 = 189

Total number of students in D = 2100 × (54° /360° ) = 315

The ratio of male and female students in D = 8 : 7

Number of male students in D = 315 × 8/15 = 168

Number of female students in D = 315 - 168 = 147

now,

% decrease of female in D that of male students in B = (105/252) × 100 = 41.7%

∴ The % decrease is 41.7%.

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