There are three numbers A, B, C such that twice A is equal

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There are three numbers A, B, C such that twice A is equal to thrice B and four times B is equal to five times C. Then the ratio between A and C is

1. 3 : 4
2. 8 : 15
3. 15 : 8
4. 4 : 3

Correct Option: C

As given,
2A = 3B
⇒ A : B = 3 : 2
and, 4B = 5C
⇒ B : C = 5 : 4
∴ A : B : C
= 3 × 5 : 2 × 5 : 2 × 4
= 15 : 10 : 8
∴ A : C = 15 : 8
Second Method :
Here, 2A = 3B i,eA : B = 3 : 2
4B = 5C i,e B : C = 5 : 4
A : C = xp : yq
= 3 × 5 : 2 × 4
= 15 : 8