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 = ?

Answer: Option C

Given 2A = 3B and 4B = 5C
i.e.
A : B = 3 : 2
B : C = 5 : 4
A : B = 3 : 2 (multiply with 5) and
B : C = 5 : 4 (multiply with 2)
i.e. A : B = 15 : 10 and
B : C = 10 : 8
∴ A : B : C = 15 : 12 : 8
∴ A : C = 15 : 8