Correct Answer - Option 2 : 125

**Given:**

(11X + 9) : (46X + 113)

Triplicate ratio = 4: 7

**Calculation:**

(11X + 9)/ (46X + 113) = (4/ 7)^{3}

⇒ (11X + 9)/ (46X + 113) = 64/ 343

⇒ (11X + 9) × 343 = (46X + 113) × 64

⇒ 3773X + 3087 = 2944X + 7232

⇒ 829X = 4145

⇒ X = 5

X^{3} = 125

**∴**** required answer is 125**