Find the percentage of red balls sold out of the total items sold by all the 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 option is 33.33.

Let's find the total number of items sold and the total number of red balls sold by all five shops (A, B, C, D, and E) step-by-step.

Step 1: Understand the table data
For each shop, we are given:
- The average number of items (Red and Blue balls) sold. Since there are two types of items (Red and Blue), the total number of items sold by a shop is:
Total items sold = Average number of items × 2
- The percentage of red balls sold relative to the total items sold by that shop.

Step 2: Calculate total items and red balls sold by each shop

Shop A:
Average items sold = 50
Total items sold = 50 × 2 = 100
Percentage of red balls sold = 25%
Red balls sold = 100 × 25% = 25

Shop B:
Average items sold = 30
Total items sold = 30 × 2 = 60
Percentage of red balls sold = 20%
Red balls sold = 60 × 20% = 12

Shop C:
Average items sold = 25
Total items sold = 25 × 2 = 50
Percentage of red balls sold = 20%
Red balls sold = 50 × 20% = 10

Shop D:
Average items sold = 25
Total items sold = 25 × 2 = 50
Percentage of red balls sold = 54%
Red balls sold = 50 × 54% = 27

Shop E:
Average items sold = 35
Total items sold = 35 × 2 = 70
Percentage of red balls sold = 51 3/7%
First, convert the mixed fraction to an improper fraction:
$51\frac{3}{7}\%=\frac{51\times 7+3}{7}\%=\frac{357+3}{7}\%=\frac{360}{7}\%$
Now, find the number of red balls sold by Shop E:
$\text{Red balls sold}=70\times \frac{360}{7\times 100}=70\times \frac{360}{700}=36$

Step 3: Calculate the overall totals
Total items sold by all shops:
$\text{Total Items}=100+60+50+50+70=330$
Total red balls sold by all shops:
$\text{Total Red Balls}=25+12+10+27+36=110$

Step 4: Calculate the required percentage
The percentage of red balls sold out of the total items sold is:
$\text{Percentage}=\left(\frac{110}{330}\right)\times 100=\frac{1}{3}\times 100\approx 33.33\%$