NIELIT 2022 Feb Scientist D - Section D: 29

Question

If $60 \%$ of $(x-y) = 30 \%$ of $(x+2y),$ then what percent of $x$ is $y?$

• A. $10 \%$
• B. $15 \%$
• C. $20 \%$
• D. $25 \%$

Answer 1

Given that: $60 \%(x-y)=30 \%(x+2y)$

$\implies 0.6(x-y)=0.3(x+2y)$

$\implies 2(x-y)=(x+2y)$

$\implies 2x-2y=x+2y$

$\implies x=4y\implies y=\frac{x}{4}\times\frac{100}{x}=25\%$

Option (D) is correct.