The sales for 5 days are given as: Rs5,000, Rs6,000, Rs8,000. Rs7,000 and Rs9.000. What must the sales be on the `6^(th)` days that the average becomes Rs8,500?

Options

A. Rs 16,000
B. Rs 12,000
C. Rs 15,000
D. Rs 10,000

Answer

To find the sales on the 6th day that would make the average sales over 6 days equal to Rs 8,500, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Sales for the First 5 Days:**
The sales for the first 5 days are:
- Day 1: Rs 5,000
- Day 2: Rs 6,000
- Day 3: Rs 8,000
- Day 4: Rs 7,000
- Day 5: Rs 9,000

2. **Calculate the Total Sales for the First 5 Days:**
We can sum these amounts:
\[ \text{Total Sales} = 5000 + 6000 + 8000 + 7000 + 9000 \]
\[ = 35000 \]

3. **Let the Sales on the 6th Day be \( x \):**
We need to find the value of \( x \) such that the average sales over 6 days equals Rs 8,500.

4. **Set Up the Average Formula:**
The formula for the average is:
\[ \text{Average} = \frac{\text{Total Sales}}{\text{Number of Days}} \]
For 6 days, this becomes:
\[ 8500 = \frac{35000 + x}{6} \]

5. **Multiply Both Sides by 6 to Eliminate the Denominator:**
\[ 8500 \times 6 = 35000 + x \]
\[ 51000 = 35000 + x \]

6. **Solve for \( x \):**
Rearranging the equation gives:
\[ x = 51000 - 35000 \]
\[ x = 16000 \]

### Final Answer:
The sales on the 6th day must be **Rs 16,000**.