The pie chart shows the total number of (sold and unsold) goods by four companies (A, B, C & D). The table shows the items sold out of total good manufactured by these companies.

Companies	Goods sold out of total goods manufactured
A	90%
B	80%
C	75%
D	4X%

Find the difference between average number of goods sold by B & C and number of unsold goods of D.

The correct answer is 14.

Based on the provided pie chart and table, let us break down the solution step-by-step:

Step 1: Understand the distribution from the pie chart
The pie chart displays the total number of goods manufactured by four companies (A, B, C, and D). From the image, we can identify the following values:
• Total goods manufactured = 200
• Company A (represented in blue) = 35% of the total
• Company B (represented in orange) = 15% of the total
• Company C (represented in grey) = 20% of the total
• Company D (represented in yellow) = 30% of the total

Let us calculate the total goods manufactured by each company:
$\text{Total goods of A}=200\times 35/100=70$
$\text{Total goods of B}=200\times 15/100=30$
$\text{Total goods of C}=200\times 20/100=40$
$\text{Total goods of D}=200\times 30/100=60$

Step 2: Calculate the goods sold by B and C
Using the table, the percentage of manufactured goods sold by each company is:
• Company B sold 80% of its manufactured goods.
• Company C sold 75% of its manufactured goods.

Let us calculate the number of sold goods:
$\text{Goods sold by B}=30\times 80/100=24$
$\text{Goods sold by C}=40\times 75/100=30$

Step 3: Find the average of goods sold by B & C
The average number of goods sold by B and C is given by:
$\text{Average}=\frac{24+30}{2}=27$

Step 4: Determine the unsold goods of D
Let _UD be the number of unsold goods of D. We are given that the difference between the average number of goods sold by B & C and the number of unsold goods of D is 14.
$|27-U_D|=14$

Since the total number of goods of D is 60, the unsold goods _UD must be less than 27 to satisfy the given options:
$27-U_D=14$
$U_D=27-14=13$

Therefore, the difference between the average number of goods sold by B & C and the unsold goods of D is exactly 14.