A grocer has a sale of rs 6435 , 6927, 6855,7230, and  6562 for 5 consecutive months.how much sale must he have in the sixth month so that he gets a average sale of rs 6500

To find the sale amount for the sixth month that would give an average sale of Rs 6500 over six months, follow these steps:

1. The average of the sales over six months is given by:
   \[
   \text{Average sale} = \frac{\text{Sum of sales over 6 months}}{6}
   \]
   We are told that the desired average is Rs 6500. Thus,
   \[
   6500 = \frac{\text{Sum of sales over 6 months}}{6}
   \]
   This implies:
   \[
   \text{Sum of sales over 6 months} = 6500 \times 6 = 39,000
   \]

2. Now, calculate the sum of the sales for the first five months:
   \[
   6435 + 6927 + 6855 + 7230 + 6562 = 34,009
   \]

3. Let the sale in the sixth month be \( x \). To achieve an average of Rs 6500, the total sales for six months must equal Rs 39,000. So, we can set up the equation:
   \[
   34,009 + x = 39,000
   \]

4. Solving for \( x \):
   \[
   x = 39,000 - 34,009 = 4991
   \]

Thus, the sale in the sixth month must be **Rs 4991** to achieve an average sale of Rs 6500.

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. What would the average sale be if the sixth month's sale was Rs 5500 instead of Rs 4991?
2. How much more or less would the grocer need to sell in the sixth month if the average sale target was Rs 6600?
3. If the sales for the first four months were increased by 10%, what would be the new required sale in the sixth month?
4. What is the percentage difference between the highest and lowest monthly sales in the given data?
5. How would the required sixth month sale change if an additional month with a sale of Rs 6000 is considered?

**Tip:** Always double-check your calculations, especially when summing large numbers, to avoid small errors that could affect the final result.

A grocer has a sale of Rs 6435, 6927, 6855, 7230, and 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs 6500?

Learn how to calculate the required sale in the sixth month to achieve an average sale of Rs 6500. This problem uses basic arithmetic and averages, perfect for students in Grades 6-8. Given the sales for the first five months, we find the sixth month’s sale using simple linear equations.

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