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    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?
    A 100% Correct Answer Incorrect Answer
    B 108% Correct Answer Incorrect Answer
    C 120% Correct Answer Incorrect Answer
    D 118% Correct Answer Incorrect Answer

    Solution

    ATQ, Number of girls in Office β€˜A’ = 1250 Γ— (1 – 0.44) = 700 Total number of employees in office β€˜B’ = 1250 Γ— 1.12 = 1400 Number of girls in office β€˜B’ = 1400 Γ— 0.54 = 756 So, required % = (756/700) Γ— 100 = 108% Alternate Solution Let total number of employees in office β€˜A’ = 100x Number of girls in office β€˜A’ = 0.56 Γ— 100x = 56x Total number of employees in office β€˜B’ = 1.12 Γ— 100x = 112x Number of girls in office β€˜B’ = 0.54 Γ— 112x = 60.48x Required percentage = (60.48x/56x) Γ— 100 = 108%

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