Source: Manhattan Prep

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

The OA is E