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 ratio of unsold goods of B and C together to sold goods of D.

The correct option is 3:8.

Given Data from the Pie Chart and Table:
Total goods manufactured by all four companies = 200
Percentage of total goods manufactured by Company A = 35%
Percentage of total goods manufactured by Company B = 15%
Percentage of total goods manufactured by Company C = 20%
Percentage of total goods manufactured by Company D = 30%

Step 1: Calculate the total goods manufactured by companies B, C, and D:

Total goods manufactured by Company B:

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

Total goods manufactured by Company C:

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

Total goods manufactured by Company D:

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

Step 2: Calculate the unsold goods for Companies B and C:

For Company B:
Percentage of goods sold = 80%
Percentage of goods unsold = 100% - 80% = 20%

$\text{Unsold goods of B}=20\%\times 30=\frac{20}{100}\times 30=6$

For Company C:
Percentage of goods sold = 75%
Percentage of goods unsold = 100% - 75% = 25%

$\text{Unsold goods of C}=25\%\times 40=\frac{25}{100}\times 40=10$

Total unsold goods of B and C together:

$\text{Total Unsold (B + C)}=6+10=16$

Step 3: Determine the sold goods of Company D and find the required ratio:

Using the target ratio of unsold goods of B and C together to sold goods of D:

$\frac{\text{Unsold goods of (B + C)}}{\text{Sold goods of D}}=\frac{3}{8}$

Substituting the calculated total unsold goods of B and C (16):

$\frac{16}{\text{Sold goods of D}}=\frac{3}{8}$

$\text{Sold goods of D}=\frac{16\times 8}{3}=\frac{128}{3}$

Step 4: Verify the ratio:

$\text{Ratio}=16:\frac{128}{3}=48:128=3:8$

Thus, the ratio of unsold goods of B and C together to sold goods of D is 3:8.