Question : There are three numbers A, B, and C such that twice of A is equal to thrice of B and four times of B is equal to five times of C. Then the ratio between A and C is:
Option 1: $3:4$
Option 2: $8:15$
Option 3: $15:8$
Option 4: $4:3$
Correct Answer: $15:8$
Solution :
Here, $2A = 3B$ and $4B = 5C$
i.e., $A:B = 3:2$ (multiplying by 5) and
$B: C = 5:4$ (multiplying by 2)
i.e., $A:B = 15:10$ and $B:C = 10:8$
$\therefore A:B: C = 15:10:8$
So, $A: C = 15:8$
Hence, the correct answer is $15 : 8$.
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