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If a:b:c = 3:4:7, then the ratio of (a+b+c):c is :-

  • A.2:1
  • B.3:1
  • C.2:3
  • D.1:3

Answer: A

The ratio is 2:1.

Take \(a = 3k\), \(b = 4k\), \(c = 7k\). Then

\[ \begin{aligned} (a + b + c) : c &= (3 + 4 + 7)k : 7k \\ &= 14 : 7 = 2 : 1 \end{aligned} \]

3:1 would need the total to be 21 parts, and 2:3 and 1:3 are smaller than 1, which is impossible, since \(a + b + c\) is always greater than \(c\).

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