Question : If A : B = 2 : 5, B : C = 4 : 3, and C : D = 2 : 1, what is the value of A : C : D?
Option 1: 6 : 5 : 2
Option 2: 7 : 20 : 10
Option 3: 8 : 30 : 15
Option 4: 16 : 30 : 15
Correct Answer: 16 : 30 : 15
Solution :
Given: A : B = 2 : 5, B : C = 4 : 3 and C : D = 2 : 1
In A : B = 2 : 5, multiply by 4 and in B : C = 4 : 3, multiply by 5,
We get, A : B = 8 : 20 and B : C = 20 : 15
⇒ A : B : C = 8 : 20 : 15
Now, in A : B : C = 8 : 20 : 15, multiply by 2 and in C : D = 2 : 1, multiply by 15.
We get,
A : B : C = 16 : 40 : 30 and C : D = 30 : 15
$\therefore$ A : B : C : D = 16 : 40 : 30 : 15
So, A : C : D = 16 : 30 : 15
Hence, the correct answer is 16 : 30 : 15.
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