Question

Suppose $30$ out of $500$ components for a computer were found defective. At this rate how many defective components would be found in $1600$ components?

Answer 1

$30$ out of $500$ components for computer were defective.

Let $x$ number of components be defective out of $1600$

$\therefore 30:500::x:1600$

$\Rightarrow \frac{30}{500}=\frac{x}{1600}$

On cross multiplying we get

$\Rightarrow 30\times 1600=500\times x

$\Rightarrow x=\frac{30\times 1600}{500}$

Simplifying

$\Rightarrow x=\frac{30\times 16}{5}$

$\Rightarrow x=6\times 16$

$\Rightarrow x=96$