Let's break down the information given in the problem step by step to find the number of toys sold by each seller and then determine the percentage difference requested.

We are given information about two sellers, 'A' and 'B', selling 'wooden' and 'plastic' toys. Let's denote the number of toys sold as follows:

• WA: Number of wooden toys sold by seller A
• PA: Number of plastic toys sold by seller A
• WB: Number of wooden toys sold by seller B
• PB: Number of plastic toys sold by seller B

We are given several conditions and ratios:

1. The ratio of plastic toys to wooden toys sold by seller A is 3 : 8. This can be written as PA : WA = 3 : 8.
2. The ratio of wooden toys sold by seller A to that by seller B is 2 : 3. This can be written as WA : WB = 2 : 3.
3. The total number of toys sold by seller B is 100. This means WB + PB = 100.
4. The number of plastic toys sold by seller B is equal to the number of wooden toys sold by seller A. This means PB = WA.

We can use these conditions to find the number of toys sold. From condition 2, WA : WB = 2 : 3. We can represent WA and WB using a common multiplier, say x:

• WA = 2x
• WB = 3x

From condition 4, PB = WA. Since WA = 2x, we have PB = 2x.

Now, using condition 3, the total number of toys sold by seller B is 100:

WB + PB = 100

Substitute the expressions in terms of x:

(3x) + (2x) = 100

5x = 100

x = 100 / 5

x = 20

Now we can find the actual number of wooden and plastic toys sold by seller A and seller B using the value of x:

• WA = 2x = 2 * 20 = 40
• WB = 3x = 3 * 20 = 60
• PB = 2x = 2 * 20 = 40

We can also find PA using condition 1, PA : WA = 3 : 8. Since WA = 40:

PA : 40 = 3 : 8

PA / 40 = 3 / 8

PA = (3 / 8) * 40

PA = 3 * 5

PA = 15

So, the number of toys sold by each seller are:

The question asks for the percentage difference between the number of plastic toys sold by seller 'B' (PB) and the number of 'wooden' toys sold by seller 'A' (WA).

We have PB = 40 and WA = 40.

To find the percentage difference, we use the formula:

Percentage Difference = $[ (\text{Value 1} - \text{Value 2}) / \text{Value 2} ] \times 100\%$.

In this case, comparing PB to WA:

Percentage Difference = $[ (\text{PB} - \text{WA}) / \text{WA} ] \times 100\%$

Percentage Difference = $[ (40 - 40) / 40 ] \times 100\%$

Percentage Difference = $[ 0 / 40 ] \times 100\%$

Percentage Difference = $0 \times 100\%$

Percentage Difference = $0\%$

The number of plastic toys sold by seller B is 0% more/less than the number of wooden toys sold by seller A. This means the number of toys is equal.

Looking at the options provided:

• 10%
• 20%
• 25%
• 40%
• None of these

Since our calculated percentage difference is 0%, which is not among the first four options, the correct answer is 'None of these'.