The average salary of the entire staff in an office is Rs 3200 per month. The average salary of officers is Rs 6800 and that of non-officers is Rs 2000. If the number of officers is 5, then find the number of non-officers in the office?

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**Solution:**

1. Let the number of non-officers be *x*.

2. Given:
   - Average salary of officers = Rs 6800
   - Average salary of non-officers = Rs 2000
   - Average salary of entire staff = Rs 3200
   - Number of officers = 5

3. Using the weighted average formula:
   $$\frac{(	ext{No. of officers} 	imes 	ext{Avg salary of officers}) + (	ext{No. of non-officers} 	imes 	ext{Avg salary of non-officers})}{	ext{Total number of staff}} = 	ext{Overall average salary}$$

Substitute the values:
   $$\frac{5 	imes 6800 + x 	imes 2000}{5 + x} = 3200$$

4. Multiply both sides by $(5 + x)$:
   $$34000 + 2000x = 3200(5 + x)$$

5. Expand the right side:
   $$34000 + 2000x = 16000 + 3200x$$

6. Rearrange terms:
   $$34000 - 16000 = 3200x - 2000x$$
   $$18000 = 1200x$$

7. Solve for *x*:
   $$x = \frac{18000}{1200} = 15$$

**Answer:** The number of non-officers is **15**.

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