If a: b=3: 4, b: c=4: 7, then (a+b+c)/c is equal to · ABC26GN3023

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: Hotel Management 2010

If $a: b=3: 4, b: c=4: 7$, then $\frac{a+b+c}{c}$ is equal to

(a)1

(b)2

(c)3

(d)7

Answer

Answer (as printed): B

Explanation

$a: b=3: 4, b: c=4: 7 \Rightarrow a: b: c=3: 4: 7$. Let $a=3 k, b=4 k, c=7 k$. Then, $\frac{a+b+c}{c}=\frac{3 k+4 k+7 k}{7 k}=\frac{14 k}{7 k}=2$.

Explanation as extracted from the printed page; notation may be imperfect.

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