A grocer has a sale of Rs. 9,435, Rs. 9,927, Rs. 9,855, Rs. 9,230 and Rs. 9,562 for five consecutive months. How much sale (in Rs.) must he have in the sixth month so that he gets an average sale of Rs. 9,500?

Options

A. 8231
B. 9991
C. 8991
D. 9231

Answer

To find out how much sale the grocer must have in the sixth month to achieve an average sale of Rs. 9,500 over six months, we can follow these steps:

### Step 1: Calculate the total sales needed for six months.
To find the total sales needed for six months to achieve an average of Rs. 9,500, we use the formula:
\[ \text{Total Sales} = \text{Average} \times \text{Number of Months} \]
Here, the average is Rs. 9,500 and the number of months is 6.
\[ \text{Total Sales} = 9,500 \times 6 = 57,000 \]

### Step 2: Calculate the total sales for the first five months.
Now, we need to find the total sales for the first five months. The sales for the five months are:
- Month 1: Rs. 9,435
- Month 2: Rs. 9,927
- Month 3: Rs. 9,855
- Month 4: Rs. 9,230
- Month 5: Rs. 9,562

Adding these amounts together:
\[ \text{Total Sales for 5 months} = 9,435 + 9,927 + 9,855 + 9,230 + 9,562 \]
Calculating this step-by-step:
- \(9,435 + 9,927 = 19,362\)
- \(19,362 + 9,855 = 29,217\)
- \(29,217 + 9,230 = 38,447\)
- \(38,447 + 9,562 = 48,009\)

So, the total sales for the first five months is Rs. 48,009.

### Step 3: Calculate the required sales for the sixth month.
Now, we can find out how much the grocer needs to sell in the sixth month by subtracting the total sales for the first five months from the total sales needed for six months:
\[ \text{Sales in 6th month} = \text{Total Sales for 6 months} - \text{Total Sales for 5 months} \]
\[ \text{Sales in 6th month} = 57,000 - 48,009 = 8,991 \]

### Conclusion
The grocer must have a sale of Rs. 8,991 in the sixth month to achieve an average sale of Rs. 9,500 over the six months.

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