The ratio of P, Q and R is 6:5:9 respectively. If their sum is 400, then what is the difference between P and R?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 60.
The common multiple be ( x).
( P = 6x )
( Q = 5x )
( R = 9x )
⇒ P + Q + R = 6x + 5x + 9x = 400
⇒ 20x = 400
⇒ x = 400 / 20 = 20
( P = 6x = 6 × 20 = 120 )
( R = 9x = 9 × 20 = 180 )
⇒ R - P = 180 - 120 = 60