Question : If $\mathrm{X: Y=3: 2}$, then what is the value of $\mathrm{(X-Y):(X+Y) }$?
Option 1: 4 : 5
Option 2: 1 : 5
Option 3: 8 : 9
Option 4: 3 : 7
Answer (1)
23rd Jan, 2024
Correct Answer: 1 : 5
Solution :
Given the ratio $\mathrm{X:Y = 3:2}$.
Let X = 3k and Y = 2k for some constant k.
Now, we can substitute these expressions.
$\mathrm{\frac{X - Y}{X + Y} = \frac{3k - 2k}{3k + 2k} = \frac{k}{5k} = \frac{1}{5}}$
Hence, the correct answer is 1 : 5.
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