A salesman in allowed `14%` commission on the total sales made by him and a bonus of `6%` on the sales over `Rs.25,000`. If the total earning of a salesman is `Rs.12500`. Find the total sale ?

Options

A. `65100`
B. `60000`
C. `68100`
D. `70000`

Answer

To solve the problem step by step, we need to find the total sales made by the salesman based on his earnings, commission, and bonus structure.

### Step 1: Understand the Earnings Structure
The salesman earns:
- A commission of 14% on total sales.
- A bonus of 6% on sales over Rs. 25,000.

### Step 2: Set Up the Equation
Let the total sales be \( S \).

The total earnings can be expressed as:
- If \( S \leq 25,000 \):
\[ \text{Total Earnings} = 0.14S \]
- If \( S > 25,000 \):
\[ \text{Total Earnings} = 0.14S + 0.06(S - 25000) \]

Given that the total earnings are Rs. 12,500, we will first consider the case where \( S > 25,000 \).

### Step 3: Simplify the Earnings Equation for \( S > 25,000 \)
For \( S > 25,000 \):
\[ \text{Total Earnings} = 0.14S + 0.06(S - 25000) \]
Expanding this:
\[ \text{Total Earnings} = 0.14S + 0.06S - 0.06 \times 25000 \]
\[ = 0.20S - 1500 \]

### Step 4: Set Up the Equation with Given Earnings
Now, we know the total earnings are Rs. 12,500:
\[ 0.20S - 1500 = 12500 \]

### Step 5: Solve for \( S \)
Add 1500 to both sides:
\[ 0.20S = 12500 + 1500 \]
\[ 0.20S = 14000 \]

Now, divide both sides by 0.20:
\[ S = \frac{14000}{0.20} \]
\[ S = 70000 \]

### Conclusion
The total sales made by the salesman is Rs. 70,000.