Question
Office A has 1250 employees, of
which 44% are boys, and the remaining are girls. Office B has 12% more employees than Office A. In Office B, 54% of the total employees are girls. What percentage of the number of girls in Office A is represented by the number of girls in Office B?Solution
ATQ, Number of girls in Office ‘A’ = 1250 × (1 – 0.44) = 700 Total number of employees in office ‘B’ = 1250 × 1.12 = 1400 Number of girls in office ‘B’ = 1400 × 0.54 = 756 So, required % = (756/700) × 100 = 108% Alternate Solution Let total number of employees in office ‘A’ = 100x Number of girls in office ‘A’ = 0.56 × 100x = 56x Total number of employees in office ‘B’ = 1.12 × 100x = 112x Number of girls in office ‘B’ = 0.54 × 112x = 60.48x Required percentage = (60.48x/56x) × 100 = 108%
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