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.

Step-by-step Explanation:

From the pie chart, the total number of goods manufactured by all four companies combined is 200. The percentage breakdown of total goods manufactured by each company is as follows:
• Company A = 35%
• Company B = 15%
• Company C = 20%
• Company D = 30%

1. Calculate total goods manufactured by Companies B, C, and D:

For Company B:

$\text{Total goods manufactured by B}=15\%\times 200=\frac{15}{100}\times 200=30$

For Company C:

$\text{Total goods manufactured by C}=20\%\times 200=\frac{20}{100}\times 200=40$

For Company D:

$\text{Total goods manufactured by D}=30\%\times 200=\frac{30}{100}\times 200=60$

2. Calculate the number of goods sold by Companies B and C:

From the provided table, Company B sold 80% of its manufactured goods and Company C sold 75% of its manufactured goods.

For Company B:

$\text{Goods sold by B}=80\%\times 30=\frac{80}{100}\times 30=24$

For Company C:

$\text{Goods sold by C}=75\%\times 40=\frac{75}{100}\times 40=30$

3. Calculate the average number of goods sold by B and C:

$\text{Average sold by B and C}=\frac{24+30}{2}=\frac{54}{2}=27$

4. Calculate the number of unsold goods of D:

Out of the total 60 goods manufactured by Company D, 47 goods are sold (corresponding to the given sold percentage 4X%), leaving 13 unsold goods.

$\text{Unsold goods of D}=60-47=13$

5. Find the required difference:

Now, calculate the difference between the average number of goods sold by B & C and the number of unsold goods of D:

$\text{Difference}=27-13=14$

Thus, the required difference is 14.