If p/q = r/s = t/u = 2/5, then what is the value of (4p + 3r + 7t) : (4q + 3s + 7u)?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2 : 5.
Let, p = 2k, q = 5k, r = 2k, s = 5k, t = 2k, and u = 5k
(4p + 3r + 7t) : (4q + 3s + 7u)
= [4(2k) + 3(2k) + 7(2k)] : [4(5k) + 3(5k) + 7(5k)]
= (8k + 6k + 14k) : (20k + 15k + 35k)
= 28k : 70k
= 2 : 5