At a certain company, the bonus pool is divided among a group of employees consisting entirely of engineers and managers

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At a certain company, the bonus pool is divided among a group of employees consisting entirely of engineers and managers so that each engineer receives a bonus of \(e\) dollars and each manager receives a bonus of \(m\) dollars. Is \(m\) at least \(20\%\) greater than \(e?\)

(1) At least \(20\%\) of the employees in the group are managers.
(2) The total amount awarded to managers is at least \(20\%\) greater than the total amount awarded to engineers.

Answer: E

Source: Manhattan GMAT
Source: — Data Sufficiency |