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Comparison of Ratios

If 8:2 is gre...

Question

If 8:2 is greater than 5: $a$ , then the value of a is greater than _____.

A

\frac{4}{5}

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B

\frac{3}{5}

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C

\frac{2}{5}

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D

\frac{5}{4}

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Solution

The correct option is D $\frac{5}{4}$
8:2 and 5:a can be written as $\frac{8}{2}$ and $\frac{5}{a}$ respectively.

As $\frac{8}{2}$ > $\frac{5}{a}$

So, on-cross multiplication of both the fractions, we get
$8 \times a$ > $5 \times 2$

Hence, a > $\frac{10}{8}$

$⟹$ a > $\frac{5}{4}$

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