Question : If 20% of $(x + y)$ = 30% of $(x - y)$, then $x$ is what percentage of $y$?
Option 1: 0.5%
Option 2: 5%
Option 3: 500%
Option 4: 50%
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Correct Answer: 500%
Solution : Given: 20% of $(x + y)$ = 30% of $(x - y)$ ⇒ $\frac{20}{100}×(x+y)=\frac{30}{100}×(x-y)$ ⇒ $2x+2y=3x-3y$ ⇒ $x=5y$ ⇒ $\frac{x}{y}=\frac{5}{1}$ Required percentage = $\frac{x}{y}×100=\frac{5}{1}×100=500$% So, $x$ is 500% of y. Hence, the correct answer is 500%.
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