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If p ∶ q ∶ r = 7 ∶ 5 ∶ 4 and r ∶ s = 12 ∶ 5, then what is p ∶ q ∶ r ∶ s?
1. 21 ∶ 5 ∶ 12 ∶ 15
2. 6 ∶ 8 ∶ 3 ∶ 6
3. 21 ∶ 15 ∶ 12 ∶ 5
4. 21 ∶ 12 ∶ 15 ∶ 5

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Correct Answer - Option 3 : 21 ∶ 15 ∶ 12 ∶ 5

Given:

p ∶ q ∶ r = 7 ∶ 5 ∶ 4

r ∶ s = 12 ∶ 5

Calculation:

⇒ r : s = 12 : 5

⇒ The ratio of p : q : r = 7 : 5 : 4

⇒ Multiplying by 3 then ratio

⇒ p : q : r = 21 : 15 : 12

⇒ The ratio of p : q : r : s = 21 : 15 : 12 : 5

∴ The required result will be "21 : 15 : 12 : 5".

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