Find the value of x in the following ratio table:

1 6

3 18

5 x

15

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30

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20

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35

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Solution

The correct option is B $30$

1 6

3 18

5 x

Given ratios are
$1 : 6$
and $3 : 18 :: 1 : 6$

$∴$ Ratios in the given table are equivalent.

Hence, ratio in the third row is also equivalent to $1 : 6.$
$\Rightarrow 5 : x :: 1 : 6$
$\Rightarrow \frac{5}{x} = \frac{1}{6}$

Cross multiplying, we get

$\Rightarrow 5 \times 6 = x \times 1$
$\Rightarrow 30 = x$
$\Rightarrow x = 30$

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