Home » Aptitude » Ratio, Proportion » Question
  1. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the value of c is
    1. 6
    2. 7
    3. 8
    4. 14
Correct Option: A

a + b
=
b + c
=
c + a
= k
678

⇒  a + b = 6k; b + c = 7k;
c + a = 8k
∴  a + b + b + c + c + a
= 6k + 7k + 8k
⇒  2 (a + b + c) = 21k
⇒  2 × 14 = 21k ⇒ k =
4
3

∴  c = (a + b + c) – (a + b)
= 14 − 6 ×
4
= 14 − 8 = 6
3



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