A salesman gets a bonus according to the following structure: If the sells articles worth Rs. x then he gets a bonus of Rs. (x/100 - 1). In the month of January, his sales value was Rs. 100, in February it was Rs. 200, from March to November it was Rs. 300 for every month and in December it was Rs. 1200. Apart from this, he also receives a basic salary of Rs. 30 per month from his employer. Find his average income per month during the year.

Options

A. 31.25
B. 30.34
C. 32.5
D. 34.5

Answer

To find the average income per month of the salesman during the year, we will follow these steps:

### Step 1: Calculate the bonus for each month based on sales.
1. **January Sales**: Rs. 100
- Bonus = \( \frac{100}{100} - 1 = 1 - 1 = 0 \)

2. **February Sales**: Rs. 200
- Bonus = \( \frac{200}{100} - 1 = 2 - 1 = 1 \)

3. **March to November Sales**: Rs. 300 for each month (9 months)
- Bonus for each month = \( \frac{300}{100} - 1 = 3 - 1 = 2 \)
- Total Bonus for March to November = \( 9 \times 2 = 18 \)

4. **December Sales**: Rs. 1200
- Bonus = \( \frac{1200}{100} - 1 = 12 - 1 = 11 \)

### Step 2: Calculate the total bonus for the year.
- Total Bonus = Bonus from January + Bonus from February + Bonus from March to November + Bonus from December
- Total Bonus = \( 0 + 1 + 18 + 11 = 30 \)

### Step 3: Calculate the basic salary for the year.
- Basic Salary per month = Rs. 30
- Total Basic Salary for the year = \( 30 \times 12 = 360 \)

### Step 4: Calculate the total income for the year.
- Total Income = Total Basic Salary + Total Bonus
- Total Income = \( 360 + 30 = 390 \)

### Step 5: Calculate the average income per month.
- Average Income = Total Income / 12
- Average Income = \( \frac{390}{12} = 32.5 \)

Thus, the average income per month during the year is **Rs. 32.5**.

---