If (4x+5):(3x+11)=13:17, then (5x+4): (4x-1)= ?

Correct option is B

​$$\textbf{Given Data:}\\(4x + 5) : (3x + 11) = 13 : 17\\\text{We need to find } (5x + 4) : (4x - 1).\\\textbf{Step 1: Convert Ratio into an Equation}\\\frac{4x + 5}{3x + 11} = \frac{13}{17}\\\textbf{Step 2: Solve for } x\\\text{Cross multiply:}\\(4x + 5) \times 17 = (3x + 11) \times 13\\68x + 85 = 39x + 143\\\text{Rearrange:}\\68x - 39x = 143 - 85\\29x = 58\\x = 2\\\textbf{Step 3: Compute } (5x + 4) \text{ and } (4x - 1)\\\text{Substituting } x = 2:\\5x + 4 = 5(2) + 4 = 10 + 4 = 14\\4x - 1 = 4(2) - 1 = 8 - 1 = 7\\\textbf{Step 4: Compute the Ratio}\\(5x + 4) : (4x - 1) = 14 : 7\\\quad = 2 : 1$$​​