Question

If P ∶ Q = 9 ∶ 1, Q ∶ R = 1 ∶ 8 and R ∶ S = 1 ∶ 10, then what is the value of P ∶ R ∶ S respectively?

• A. 8 ∶ 9 ∶ 80
• B. 19 ∶ 18 ∶ 80
• C. 9 ∶ 8 ∶ 70
• D. 9 ∶ 8 ∶ 80

Answer 1

Answer:

D. 9 ∶ 8 ∶ 80

Solution: Calculation: P : Q = 9 : 1, Multiplied by 8 (to match with the 'Q : R' ratio) ⇒ P : Q = 72 : 8 ⇒ Q : R = 1 : 8 Now, P : R = 72 : 64 R : S = 1 : 10, Multiplied by 64 (to match with the 'P : R' ratio) ⇒ R : S = 64 : 640 ⇒ P : R : S = 72 : 64 : 640 ∴ The required ratio P: R : S is 9 : 8 : 80.