If a, b, c are three numbers such that a : b = 3 : 4 and

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If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

1. 1 : 3
2. 2 : 3
3. 3 : 2
4. 1 : 2

Correct Option: B

We can write a : c by compounding a : b and b : c

a

=

a

×

b

,

a

=

3

×

8

,

a

=

2

c

b

c

c

4

9

c

3

⇒ a : c = 2 : 3
Second Method :
A : C = xp : yq
= 3 × 8 : 4 × 9 = 2 : 3