Ananya gets salary of Rs. 15,000 per month and commission at 8% on the sales over Rs.50,000. If she gets Rs. 17,400 in a certain month, Find the sales made by her in that month.

Answer

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Understand the total salary
Ananya's total earnings for the month is the sum of her base salary and her commission.

**Base Salary = Rs. 15,000**
**Total Earnings = Rs. 17,400**

### Step 2: Calculate the commission
To find the commission, we subtract the base salary from the total earnings.

\[ \text{Commission} = \text{Total Earnings} - \text{Base Salary} \]
\[ \text{Commission} = 17,400 - 15,000 = 2,400 \]

### Step 3: Set up the equation for sales
Ananya earns a commission of 8% on the sales over Rs. 50,000. Let \( X \) be the total sales made by Ananya.

The commission can be expressed as:
\[ \text{Commission} = 8\% \text{ of } (X - 50,000) \]
This can be written mathematically as:
\[ 2,400 = 0.08 \times (X - 50,000) \]

### Step 4: Solve for \( X \)
First, we will eliminate the percentage by multiplying both sides of the equation by 100:
\[ 2,400 \times 100 = 8 \times (X - 50,000) \]
\[ 240,000 = 8(X - 50,000) \]

Now, divide both sides by 8:
\[ 30,000 = X - 50,000 \]

Next, add 50,000 to both sides to solve for \( X \):
\[ X = 30,000 + 50,000 \]
\[ X = 80,000 \]

### Conclusion
The total sales made by Ananya in that month is **Rs. 80,000**.

---