If 26 male employees from the HR department are transferred to the Administration department and 28 female employee from the Administration department are transferred to the HR department, what is the ratio of the number of male employees to the number of female employees in the Administration department after the transfer of employees?

23 : 49

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29 : 49

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25 : 49

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23 : 47

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25 : 47

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Solution

The correct option is B 29 : 49
By using the given information we can get the following table.
$\begin{matrix} O r g a n i s a t i o n & M a l e & F e m a l e H R & 108 & 272 M a r k e t i n g & 315 & 160 F i n a n c e & 270 & 144 A d m i n i s t r a t i o n & 90 & 224 M a n u f a c t u r i n g & 117 & 0 T o t a l & 900 & 800 \end{matrix}$
Number of male employees in the Administration department after transfer of 26 males from HR $= 90 + 26 = 116$
Number of female employees in HR $= 272 + 28 = 300$
Number of female employees in the Administration department $= 224 - 28 = 196$
$∴$ required ratio $= 116 : 196 = 29 : 49$

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