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.

The correct answer is 2.

Step 1: Analyze the data from the pie chart and table
From the pie chart titled "Total goods manufactured = 200", we obtain the following data for Company A:
• Total goods manufactured by all four companies = 200
• Percentage of goods manufactured by Company A = 35%

From the table showing goods sold out of total manufactured:
• Percentage of manufactured goods sold by Company A = 90%

Step 2: Calculate total goods manufactured by Company A

$\text{Total goods manufactured by A}=35\%\text{of}200$

$\text{Total goods manufactured by A}=\frac{35}{100}\times 200=70$

Step 3: Calculate total goods sold and unsold by Company A

$\text{Total goods sold by A}=90\%\text{of}70$

$\text{Total goods sold by A}=\frac{90}{100}\times 70=63$

$\text{Total goods unsold by A}=\text{Total manufactured}-\text{Total sold}$

$\text{Total goods unsold by A}=70-63=7$

Step 4: Determine non-defective goods sold and unsold by Company A
Out of the 63 total goods sold by Company A, 53 are defective.

$\text{Non-defective goods sold by A}=63-53=10$

The ratio of non-defective goods sold by A to non-defective goods unsold by A is given as 2 : 1.

$\text{Non-defective goods unsold by A}=\frac{10}{2}=5$

Step 5: Calculate defective unsold goods by Company A

$\text{Defective unsold goods by A}=\text{Total unsold by A}-\text{Non-defective unsold by A}$

$\text{Defective unsold goods by A}=7-5=2$

Thus, the required value is 2.