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%
Answer (1)
24th Jan, 2024
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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