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Ratio and Proportion

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Question : 42 of 112

Marks: +1, -0

Given that 24 carat gold is pure gold; 18 carat gold is (3/4) gold and 20 carat gold is (5/6) gold,the ratio of the pure gold in 18 carat gold to the pure gold in 20 carat gold is :

$5 : 8$
$9 : 10$
$15 : 24$
$8 : 5$

Solution:

Concept:

The ratio of pure gold content is directly the ratio of the given fractions.

Explanation:

Pure gold in 18 carat gold =

\frac{3}{4}

.

Pure gold in 20 carat gold =

\frac{5}{6}

.

Required ratio =

\frac{3}{4} : \frac{5}{6}

.

Simplify:

\frac{3}{4} \div \frac{5}{6} = \frac{3}{4} \times \frac{6}{5} = \frac{18}{20} = \frac{9}{10}

.

Thus the ratio is

9 : 10

.

Answer:

9 : 10

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