An agent gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets rs. 12.50 as commission, the cloth sold through him on that day is worth ?

Options

A. a. rs.250
B. b. rs.500
C. c. rs.750
D. d. rs.1250

Answer

To find the worth of the cloth sold by the agent, we can follow these steps:

### Step 1: Understand the commission structure
The agent receives a commission of 2.5% on the sales of cloth. This means that for every Rs. 100 worth of cloth sold, the agent earns Rs. 2.50.

### Step 2: Set up the equation
Let the worth of the cloth sold be represented by \( X \). According to the problem, the agent's commission of Rs. 12.50 can be expressed as:
\[ 2.5\% \text{ of } X = 12.50 \]
This can be written mathematically as:
\[ \frac{2.5}{100} \times X = 12.50 \]

### Step 3: Solve for \( X \)
To isolate \( X \), we can rearrange the equation:
\[ X = \frac{12.50 \times 100}{2.5} \]

### Step 4: Simplify the calculation
Now, we can simplify the right side:
\[ X = \frac{12.50 \times 100}{2.5} = \frac{1250}{2.5} \]

### Step 5: Perform the division
To make the division easier, we can multiply both the numerator and denominator by 10 to eliminate the decimal:
\[ X = \frac{1250 \times 10}{2.5 \times 10} = \frac{12500}{25} \]

Now, we can perform the division:
\[ X = 500 \]

### Conclusion
The worth of the cloth sold through the agent on that day is Rs. 500.

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