Question : If 8% of $x$ = 4% of $y$, then 20% of $x$ is:
Option 1: 10% of $y$
Option 2: 16% of $y$
Option 3: 40% of $y$
Option 4: 80% of $y$
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Correct Answer: 10% of $y$
Solution :
Given: 8% × $x$ = 4% × $y$
⇒ $\frac{8}{100}x$ = $\frac{4}{100}y$
⇒ $\frac{x}{y}$ = $\frac{400}{800}$ = $\frac{1}{2}$
⇒ $x$ = $\frac{1}{2}y$
So, 20% × $x$ = 20% × $\frac{1}{2}y$ = 10% of $y$
Hence, the correct answer is 10% of $y$.
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