In a factory that produces computer circuit boards, 4.5 percent of all boards produced are found to be defective and are repaired before being sold, but 10 percent of all defective boards are sold without being repaired. What percentage of boards produced in the factory are defective?  Choose the correct option:
A) 4.5%
B) 5.0%
C) 6.0%
D) 10.0%
E) 14.5%
Total Boards = X   Total Defective Boards = Y   Out of this Y "Defective" boards 10% "Escaped" (GIVEN) and 90% "Get caught and fixed"   We know that "Get Caught and fixed" = 4.5% of X. This implies   90% of Y = 4.5% of X.   (90/100) * Y = (4.5/100) * X ===&gt; Y = 0.05 * X ===&gt; 5% of X.   ANSWER:5.0%
<result>B</result>
In a factory that produces computer circuit boards, 4.5 percent of all boards produced are found to be defective and are repaired before being sold, but 10 percent of all defective boards are sold without being repaired. What percentage of boards produced in the factory are defective?