If a: 5=b: 7=c: 8, then (a+b+c)/a= ? · ABC26GN2919

Subject: General Aptitude · Chapter: Ratio and Proportion

If $a: 5=b: 7=c: 8$, then $\frac{a+b+c}{a}=$ ?
Answer
No answer key was printed for this question.
Explanation
Let $\frac{a}{5}=\frac{b}{7}=\frac{c}{8}=k$. Then, $a=5k, b=7k, c=8k$. $$\therefore \quad \frac{a+b+c}{a}=\frac{5k+7k+8k}{5k}=\frac{20k}{5k}=4.$$

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

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