The average monthly income of employees in a company is Rs. 21500. The average monthly income of male employees is Rs. 20000, while the average monthly income of female employees is Rs. 24000. What is the ratio of the number of male employees to female employees?

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**Solution:**

1. Let the number of male employees be *m* and female employees be *f*.

2. The total average income is given by the weighted average formula:
   $$21500 = \frac{20000m + 24000f}{m + f}$$

3. Multiply both sides by $m + f$:
   $$21500(m + f) = 20000m + 24000f$$

4. Expand the left side:
   $$21500m + 21500f = 20000m + 24000f$$

5. Rearrange terms to isolate variables:
   $$21500m - 20000m = 24000f - 21500f$$

$$1500m = 2500f$$

6. Divide both sides by 500:
   $$3m = 5f$$

7. Therefore, the ratio of male to female employees is:
   $$\frac{m}{f} = \frac{5}{3}$$

**Answer:** 5 : 3

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