Find the difference between maximum number of blue balls sold and minimum number of red balls sold by given shops.

The data in the table shows the average number of items (Red and Blue balls) sold by five shops and percentage of red balls sold.

Shops	Average number of items (Red and blue balls) sold	Percentage of red balls sold
A	50	25%
B	30	20%
C	25	20%
D	25	54%
E	35	51 $\frac{3}{7}$%

The correct answer is 65.

Here is the step-by-step explanation:

The table provides the average number of two types of items (Red and Blue balls) sold by five shops. Therefore, the total number of items sold by each shop can be calculated as:
Total items sold = 2 × Average number of items sold

Let us calculate the total number of items, red balls, and blue balls sold by each shop:

1. Shop A:
Average number of items sold = 50
Total items sold = 2 × 50 = 100
Red balls sold = 25% of 100 = 25
Blue balls sold = 100 - 25 = 75

2. Shop B:
Average number of items sold = 30
Total items sold = 2 × 30 = 60
Red balls sold = 20% of 60 = 12
Blue balls sold = 60 - 12 = 48

3. Shop C:
Average number of items sold = 25
Total items sold = 2 × 25 = 50
Red balls sold = 20% of 50 = 10
Blue balls sold = 50 - 10 = 40

4. Shop D:
Average number of items sold = 25
Total items sold = 2 × 25 = 50
Red balls sold = 54% of 50 = 27
Blue balls sold = 50 - 27 = 23

5. Shop E:
Average number of items sold = 35
Total items sold = 2 × 35 = 70
Percentage of red balls sold = $51\frac{3}{7}\%$ = $\frac{360}{7}\%$
Red balls sold = $\frac{360}{700}\times 70=36$
Blue balls sold = 70 - 36 = 34

Now, let us find the required maximum and minimum values from the calculated data:

Maximum number of blue balls sold = 75 (by Shop A)
Minimum number of red balls sold = 10 (by Shop C)

The difference between the maximum number of blue balls sold and the minimum number of red balls sold is:
Difference = 75 - 10 = 65