Question : If 10% of $x$ is 3 times of 15% of $y$, then find $x:y$.
Option 1: $7:2$
Option 2: $9:2$
Option 3: $8:3$
Option 4: $11:4$
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Correct Answer: $9:2$
Solution :
Given: $10$% of $x$ = $3×15$% of $y$
⇒ $x×\frac{10}{100}=3×y×\frac{15}{100}$
⇒ $10x=45y$
⇒ $\frac{x}{y}=\frac{45}{10}=\frac{9}{2}$
⇒ $x:y=9:2$
Hence, the correct answer is $9:2$.
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