If P : Q : R = 2 : 3 : 4, then find: \(\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}\).
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 8 : 9 : 24
A ratio stays the same when every term is multiplied by one number, so the three fractions are found first and then multiplied by the LCM of their denominators to clear the fractions.
Assuming P, Q, R to be 2, 3, 4: \(\frac{P}{Q}=\frac{2}{3}\), \(\frac{Q}{R}=\frac{3}{4}\), \(\frac{R}{P}=\frac{4}{2}=2\)
LCM of 3, 4 and 1 is 12
\(\frac{2}{3}\times12=8\), \(\frac{3}{4}\times12=9\), \(2\times12=24\), so the ratio is 8 : 9 : 24