If $x : y = 3 : 4,$ then $(2 x + 3 y) : (3 y - 2 x) =$ ?

2 : 1

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3 : 2

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3 : 1

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21 : 1

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Solution

The correct option is C $3 : 1$
Let $x = 3 a; y = 4 a$
So, $\frac{2 x + 3 y}{3 y - 2 x} = \frac{2 (3 a) + 3 (4 a)}{3 (4 a) - 2 (3 a)}$

$= \frac{6 a + 12 a}{12 a - 6 a} = \frac{18}{6}$

$= 3 : 1$

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