If (8/5) P = (7/4) Q = (4/3) R, then what is the ratio of the P, Q, and R?

Question

Question

Answer 1

Given:

(8/5) P = (7/4) Q = (4/3) R

Calculation

Let, (8/5) P = (7/4) Q = (4/3) R = k

P = 5/8 k, Q = 4/7 k, R = 3/4 k

Then, P ∶ Q ∶ R = 5/8 k ∶ 4/7 k ∶ 3/4 k

Now, let us take the LCM of (8, 7, 4) = 56

⇒ P ∶ Q ∶ R = (5 × 7) ∶ (4 × 8) ∶ (3 × 14)

Then P : Q : R = 35 : 32 : 42

∴ The required ratio of P: Q: R = 35 : 32 : 42.