Out of a number of electronic items, Rohit purchases $60 %$ coloured T.V.'s, $5 %$ of these are found to be defective. The percentage of defective T.V.'s in all is____.

3 %

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6 %

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12 %

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Can't be determined

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Solution

The correct option is B $3 %$
Let total number of coloured T.V.'s be $x$
Number of coloured T.V.'s bought $= 60 %$ of $x = 0.6 x$

Given that, $5 %$ of these are defected.
$\Rightarrow$ Number of defective T.V.'s $= 5 %$ of $0.6 x = \frac{5 \times 6 x}{1000} = 0.03 x$

$\Rightarrow 3 %$ of T.V.'s are defective.

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Out of a number of electronic items, Rohit purchases 60% coloured T.V.'s, 5% of these are found to be defective. The percentage of defective T.V.'s in all is____.

The correct option is B 3%Let total number of coloured T.V.'s be xNumber of coloured T.V.'s bought =60% of x=0.6xGiven that, 5% of these are defected.⇒ Number of defective T.V.'s =5% of 0.6x=5×6x1000=0.03x⇒3% of T.V.'s are defective.

Out of a number of electronic items, Rohit purchases $60 %$ coloured T.V.'s, $5 %$ of these are found to be defective. The percentage of defective T.V.'s in all is____.