If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P + Q ∶ Q + R ∶ R + P is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 21 ∶ 23 ∶ 22.
If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P : Q : R = 10 : 11 : 12
Let P = 10x, Q = 11x and R = 12x
Thus, P + Q ∶ Q + R ∶ R + P = (10x + 11x) : (11x + 12x) : (12x + 10x)
⇒ 21x : 23x : 22x = 21 : 23 : 22