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Ratio and Proportion

x : 5 a 3 8 c...

Question

$x : 5 a 38 c 15$
$y : 241040 b 20 d$ ; $x$ and $y$ are proportional. Find the value of $a$

A

10

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B

24

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C

12

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D

15

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Solution

The correct option is D $12$
$x y = 5 \times 24 = 3 \times 40 = 120 = k$

$\Rightarrow x$ is inversely proportional to $y$ . [because product is constant]

$\Rightarrow 5 \times 24 = 10 a = 120$

$\Rightarrow a = \frac{120}{10} = 12$

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