MH Publication hired a SSC student on condition that he get `Rs. 2700` as monthly salary and get `6(1)/(4)%` commission on the sales. If he gets `Rs.18325` in any month, then find his sales for that month ?

Options

A. `260000`
B. `250000`
C. `230000`
D. `225000`

Answer

To find the sales for the month, we can break down the problem step by step.

### Step 1: Understand the total earnings
The student earns a fixed salary of Rs. 2700 and a commission based on sales. The total earnings for the month are given as Rs. 18325.

### Step 2: Calculate the commission earned
To find out how much commission the student earned, we need to subtract the fixed salary from the total earnings.

\[ \text{Commission} = \text{Total Earnings} - \text{Fixed Salary} \]
\[ \text{Commission} = 18325 - 2700 = 15625 \]

### Step 3: Convert the commission percentage to a fraction
The commission rate is given as \(6 \frac{1}{4}\%\). We can convert this mixed number into an improper fraction.

\[ 6 \frac{1}{4} = \frac{25}{4} \% \]

To convert the percentage to a decimal for calculation, we divide by 100:

\[ \frac{25}{4} \% = \frac{25}{4} \times \frac{1}{100} = \frac{25}{400} = \frac{1}{16} \]

### Step 4: Set up the equation for sales
Let \(X\) be the total sales. The commission earned is \( \frac{1}{16} \) of the total sales:

\[ \text{Commission} = \frac{1}{16} \times X \]

From Step 2, we know the commission is Rs. 15625:

\[ 15625 = \frac{1}{16} \times X \]

### Step 5: Solve for total sales \(X\)
To find \(X\), we can multiply both sides of the equation by 16:

\[ X = 15625 \times 16 \]

Calculating this gives:

\[ X = 250000 \]

### Conclusion
The total sales for the month is Rs. 250000.

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