Rs. 7200 is divided among P, Q and R such that 6 times of P’s share is equal to 2 times of Q’s share which is equal to 3 times of R’s share. What is the share of Q?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 3600.
6 times P's share = 2 times Q's share = 3 times R's share
Let:
P's share = P
Q's share = Q
R's share = R
From the condition:
⇒ 6P = 2Q = 3R
let 6P = 2Q = 3R = k (some constant)
Thus:
P = k/6
Q = k/2
R = k/3
The total amount = Rs. 7200
Therefore:
⇒ P + Q + R = 7200
the values of P, Q, and R in terms of k:
⇒ k/6 + k/2 + k/3 = 7200
⇒ k/6 + 3k/6 + 2k/6 = 7200
⇒ 6k/6 = 7200
⇒ k = 7200
⇒ Q = k/2
⇒ Q = 7200/2 = 3600
The share of Q is Rs. 3600.