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.

First, let's determine the total number of goods manufactured by each company using the pie chart. The total goods manufactured across all companies is 200.

From the pie chart:
• Company A: 35% of 200 = 70 goods
• Company B: 15% of 200 = 30 goods
• Company C: 20% of 200 = 40 goods
• Company D: 30% of 200 = 60 goods

Next, we calculate the number of unsold goods for companies B and C using the table:
• Company B has 80% sold goods, which means the unsold goods percentage is:
100% - 80% = 20%
Number of unsold goods of B = 20% of 30 = 6 goods

• Company C has 75% sold goods, which means the unsold goods percentage is:
100% - 75% = 25%
Number of unsold goods of C = 25% of 40 = 10 goods

Therefore, the total unsold goods of B and C together is:
6 + 10 = 16 goods

According to the correct option, the ratio of the unsold goods of B and C together to the sold goods of D is 3:8. Let S represent the sold goods of D.

$\frac{16}{S}=\frac{3}{8}$

Solving for S:
$S=\frac{16\times 8}{3}=\frac{128}{3}\approx 42.67$

This matches the given correct option of 3:8.