Option 3 : 3 ∶ 5

**Given:**

(5x + 3y) ∶ (5x + 4y) = 6 ∶ 7

**Calculation:**

(5x + 3y) ∶ (5x + 4y) = 6 ∶ 7

⇒ 7(5x + 3y) = 6(5x + 4y)

⇒ 35x + 21y = 30x + 24y

⇒ 5x = 3y

⇒ x ∶ y = 3 ∶ 5

**∴ The Required Ratio is 3 ∶ 5.**

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