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If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
&\,\,\,\, {\text{ }}a{\text{ }}:{\text{ }}b{\text{ }}:{\text{ }}c \cr
&\,\,\,\, {\text{ }}3{\text{ }}:{\text{ }}4{\text{ }}:{\text{ }}7{\text{ }} \cr
& \boxed{\,\,3x:4x:7x\,\,\,\,} \Rightarrow 14x \cr
& \therefore a + b + c = 14x \cr
& c = 7x \cr
& \therefore \left( {a + b + c} \right):c \cr
& = 14x:7x \cr
& = 2:1 \cr} $$
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