A salesman gets commission on total sales at` 9%` . If the sale is exceeded ₹ 10000 he gets an additional commission as bonus of `3%` on the excess sales over ₹10,000. If he gets total commission of ₹ 1380 , then the bonus he received is :

Options

A. ₹ 180
B. ₹120
C. ₹480
D. Data insufficient

Answer

To find the bonus received by the salesman, we can follow these steps:

### Step 1: Understand the Commission Structure
The salesman earns a commission of 9% on total sales. If the total sales exceed ₹10,000, he receives an additional 3% as a bonus on the amount exceeding ₹10,000.

### Step 2: Set Up the Equation
Let the total sales be \( S \). The total commission earned by the salesman can be expressed as:
- If \( S \leq 10,000 \): Total Commission = \( 0.09S \)
- If \( S > 10,000 \): Total Commission = \( 0.09S + 0.03(S - 10,000) \)

Since the total commission is given as ₹1380, we will consider the case where \( S > 10,000 \).

### Step 3: Write the Commission Equation
For \( S > 10,000 \):
\[ \text{Total Commission} = 0.09S + 0.03(S - 10,000) = 1380 \]

### Step 4: Simplify the Equation
Expanding the equation:
\[ 0.09S + 0.03S - 0.03 \times 10,000 = 1380 \]
\[ 0.12S - 300 = 1380 \]

### Step 5: Solve for \( S \)
Add 300 to both sides:
\[ 0.12S = 1680 \]
Now, divide both sides by 0.12:
\[ S = \frac{1680}{0.12} = 14000 \]

### Step 6: Calculate the Bonus
Now that we have the total sales \( S = 14000 \), we can find the bonus:
- The excess sales over ₹10,000 is \( 14000 - 10000 = 4000 \).
- The bonus is 3% of the excess sales:
\[ \text{Bonus} = 0.03 \times 4000 = 120 \]

### Final Answer
The bonus received by the salesman is ₹120.

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