A sales executive gets 20% bonus of the total sales value and 10% commission besides the bonus on the net profit after charging such commission. If the total sales value be Rs. 10 lakh per annum and the total profit of the company be Rs. 1.32 lakh, then his total earning per annum will be, given that he is not entitled to receive any fixed salary from the comapny :

Options

A. a. 2.3 lakh
B. b. 3.2 lakh
C. c. 2.32 lakh
D. d. 2.12 lakh

Answer

To solve the question step by step, we need to calculate the total earnings of the sales executive based on the commission and bonus he receives.

### Step 1: Calculate the Bonus
The sales executive receives a 20% bonus on the total sales value.

- **Total Sales Value** = Rs. 10,00,000
- **Bonus** = 20% of Total Sales Value = (20/100) * 10,00,000

Calculating this:
\[ \text{Bonus} = \frac{20}{100} \times 10,00,000 = 2,00,000 \]

### Step 2: Calculate the Net Profit After Commission
Next, we need to find the net profit after charging the commission. The total profit of the company is given as Rs. 1,32,000.

The commission is 10% of the net profit. Let’s denote the net profit as \( x \).

- **Total Profit** = Rs. 1,32,000
- **Commission** = 10% of Net Profit = (10/100) * \( x \)

The net profit after charging the commission can be expressed as:
\[ \text{Total Profit} = \text{Net Profit} - \text{Commission} \]
Substituting the values:
\[ 1,32,000 = x - \frac{10}{100} \times x \]
This simplifies to:
\[ 1,32,000 = x - 0.1x \]
\[ 1,32,000 = 0.9x \]

### Step 3: Solve for Net Profit
Now, we can solve for \( x \):
\[ x = \frac{1,32,000}{0.9} = 1,46,666.67 \text{ (approximately)} \]

### Step 4: Calculate the Commission
Now that we have the net profit, we can calculate the commission:
\[ \text{Commission} = 10\% \text{ of } 1,46,666.67 = \frac{10}{100} \times 1,46,666.67 = 14,666.67 \text{ (approximately)} \]

### Step 5: Calculate Total Earnings
Finally, we can calculate the total earnings of the sales executive:
\[ \text{Total Earnings} = \text{Bonus} + \text{Commission} \]
Substituting the values:
\[ \text{Total Earnings} = 2,00,000 + 14,666.67 = 2,14,666.67 \text{ (approximately)} \]

### Final Answer
Thus, the total earnings of the sales executive per annum is approximately Rs. 2,14,667.

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