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The ratio of male to female employees in a company is 8:6. If 15 more female employees join the company, the new ratio of male to female employees becomes 8:7. What is the total number of employees in the company initially?

1. 180
2. 210
3. 252
4. 315

Correct answer: 210

Solution

Let males = 8x and females = 6x initially. After 15 females join, females become 6x + 15 and the new ratio is 8:7, so \(\frac{8x}{6x+15}=\frac{8}{7}\). Solving gives \(56x=48x+120\Rightarrow x=15\), hence total employees initially = \(8x+6x=14x=210\).

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