A salesman receives 3% commission on the sales up to Rs. 50,000 and 4% commission on the sales over Rs. 50,000. His total income on the sale of Rs. 2,00,000 is ___________

Options

A. Rs. 6,000
B. Rs. 7,550
C. Rs. 7,500
D. Rs. 1,500

Answer

To calculate the total income of the salesman on the sale of Rs. 2,00,000, we will break down the commission structure as follows:

### Step 1: Calculate the commission on the first Rs. 50,000
The salesman receives a commission of 3% on sales up to Rs. 50,000.

\[ \text{Commission on Rs. 50,000} = 3\% \text{ of } 50,000 = \frac{3}{100} \times 50,000 = 1,500 \]

### Step 2: Calculate the sales amount over Rs. 50,000
The total sales amount is Rs. 2,00,000. The amount over Rs. 50,000 is:

\[ \text{Sales over Rs. 50,000} = 2,00,000 - 50,000 = 1,50,000 \]

### Step 3: Calculate the commission on the sales over Rs. 50,000
The salesman receives a commission of 4% on the sales over Rs. 50,000.

\[ \text{Commission on Rs. 1,50,000} = 4\% \text{ of } 1,50,000 = \frac{4}{100} \times 1,50,000 = 6,000 \]

### Step 4: Calculate the total income
Now, we can find the total income by adding the commission from both parts:

\[ \text{Total Income} = \text{Commission on Rs. 50,000} + \text{Commission on Rs. 1,50,000} \]

\[ \text{Total Income} = 1,500 + 6,000 = 7,500 \]

Thus, the total income of the salesman on the sale of Rs. 2,00,000 is **Rs. 7,500**.

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