Test Index

Ratio and Proportion

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Question : 92 of 112

Marks: +1, -0

If

\frac{x}{2y} = \frac{3}{2},

then the value of

\frac{2x+y}{x-2y}

is

$5$
$7$
$2$
$7.1$

Solution:

Concept:

Find the ratio of

x

to

y

from the given equation, then substitute into the required expression.

Explanation:

Given

\frac{x}{2y} = \frac{3}{2}

.

Multiply both sides by

2y

:

x = \frac{3}{2} \cdot 2y = 3y

.

Thus

x = 3y

.

Substitute

x = 3y

into

\frac{2x+y}{x-2y}

:

\frac{2(3y) + y}{3y - 2y} = \frac{6y + y}{y} = \frac{7y}{y} = 7

.

Note:

y \neq 0

.

Answer:

7

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