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%

Out of the total goods sold by A, 53 are defective and rest are non defective, and the ratio of non-defective goods sold by A to non-defective goods unsold by A is 2:1. Find the defective goods sold by A.

To find the correct answer, we will analyze the data from the pie chart and the table step-by-step.

Step 1: Find the total goods manufactured by Company A
From the pie chart:
• Total goods manufactured by all four companies = 200
• Sector percentage for Company A = 35%

Therefore, the total goods manufactured by Company A is:
$\text{Total manufactured by A}=35\%\text{of}200=\frac{35}{100}\times 200=70$

Step 2: Find the number of sold and unsold goods for Company A
From the table, Company A sold 90% of its manufactured goods:
$\text{Total goods sold by A}=90\%\text{of}70=63$
The remaining goods are unsold:
$\text{Total goods unsold by A}=70-63=7$

Step 3: Calculate the non-defective sold goods for Company A
We are given that out of the total goods sold by A (63 goods), 53 are defective. Therefore, the remaining sold goods are non-defective:
$\text{Non-defective goods sold by A}=63-53=10$

Step 4: Calculate the non-defective unsold goods for Company A
The ratio of non-defective goods sold by A to non-defective goods unsold by A is given as 2:1.
Let the number of non-defective unsold goods be $x$.
$\frac{10}{x}=\frac{2}{1}\Rightarrow x=5$
So, Company A has 5 non-defective unsold goods.

Step 5: Find the defective unsold goods for Company A
Since the question asks for the defective goods (the question text contains a minor typo asking for "sold" instead of "unsold", since defective sold is already given as 53), we calculate the defective unsold goods:
$\text{Defective goods unsold by A}=\text{Total unsold by A}-\text{Non-defective unsold by A}$
$\text{Defective goods unsold by A}=7-5=2$

Thus, the correct option representing the defective unsold goods is 2.