If A : B : C = 3 : 4 : 5, then A/B:B/C:C/A is equal to:

Correct Answer is : 45 : 48 : 100

Correct Answer is : 45 : 48 : 100

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Ratio and Proportion Practice Test 5

Question : 15 of 25

Marks: +1, -0

\frac{A}{B}:\frac{B}{C}:\frac{C}{A}

is equal to:

Solution:

Concept:

To compare ratios of fractions, multiply each term by a common multiple to clear the denominators.

Explanation:

Let

A=3x

B=4x

, and

C=5x

Then

\frac{A}{B}=\frac{3}{4}

\frac{B}{C}=\frac{4}{5}

, and

\frac{C}{A}=\frac{5}{3}

So,

\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=\frac{3}{4}:\frac{4}{5}:\frac{5}{3}

Multiply each term by

\mathrm{LCM}(4,5,3)=60

Thus,

60\times\frac{3}{4}:60\times\frac{4}{5}:60\times\frac{5}{3}

This gives

45:48:100

Answer:

Option B:

45:48:100

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