Question : If $x:y::2:3$ and $2:x::4:8$, then the value of $y$ is:
Option 1: 6
Option 2: 8
Option 3: 4
Option 4: 12
Answer (1)
15th Jan, 2024
Correct Answer: 6
Solution :
Given: $x:y::2:3$ and $2:x::4:8$
$2:x::4:8$
⇒ $\frac{2}{x}=\frac{4}{8}$
⇒ $4x=16$
⇒ $x=\frac{16}{4}=4$
Now, $x:y::2:3$
⇒ $\frac{x}{y}=\frac{2}{3}$
⇒ $\frac{4}{y}=\frac{2}{3}$ (Putting $x=4$)
⇒ $2y=12$
$\therefore y=6$
Hence, the correct answer is 6.
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