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

A. 2 : 1

B. 14 : 3

C. 7 : 2

D. 1 : 2

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ &\,\,\,\, {\text{ }}a{\text{ }}:{\text{ }}b{\text{ }}:{\text{ }}c \cr &\,\,\,\, {\text{ }}3{\text{ }}:{\text{ }}4{\text{ }}:{\text{ }}7{\text{ }} \cr & \boxed{\,\,3x:4x:7x\,\,\,\,} \Rightarrow 14x \cr & \therefore a + b + c = 14x \cr & c = 7x \cr & \therefore \left( {a + b + c} \right):c \cr & = 14x:7x \cr & = 2:1 \cr} $$

This Question Belongs to Arithmetic Ability >> Ratio

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Comments ( 4 )

  1. DEEPAK Kumar
    DEEPAK Kumar :
    1 year ago

    2:1 kaise aya

  2. ALOK KUMAR
    ALOK KUMAR :
    3 years ago

    Explained thoroughly however it will beneficial if provide by some trick for fast calculation

  3. Shreya Singh
    Shreya Singh :
    3 years ago

    Thanks for the answer

  4. Tsega Negussie
    Tsega Negussie :
    3 years ago

    why do you choose c, why do you choose a or b instead of c

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