If I ∶ m = 2 ∶ 7, m ∶ n = 3 ∶ 4 and n ∶ k = 14 ∶ 5, then I ∶ m ∶ n ∶ k is:
Show answer & explanation
Correct answer: A
Explanation
The Correct answer is Option 1 i.e. 6 : 21 : 28 : 10.
I ∶ m = 2 ∶ 7, m ∶ n = 3 ∶ 4 and n ∶ k = 14 ∶ 5
⇒ n ∶ k = 14 ∶ 5
⇒ m : n = 3 : 4......(multiply by 7/2)
It becomes
⇒ m : n = 21/2 : 14
Now,
⇒ I ∶ m = 2 ∶ 7......(multiply by 3/2)
⇒ m : n = 21/2 : 14
It becomes
⇒ l : m = 3 : 21/2
Thus,
⇒ l : m : n : k = 3 : 21/2 : 14 : 5 = 6 : 21 : 28 : 10