correct answer is: b) 1

Explanation

Here given ratio is \left(5+\large\frac{2}{x}\right)\normalsize∶ \left(4+\large\frac{3}{x}\right)\normalsize=1
\rightarrow\large\left(\frac{5x+2}{x}\right)\normalsize∶ \large\left(\frac{4x+3}{x}\right)\normalsize=1
\rightarrow\large\left(\frac{5x+2}{x}\right)\times\left(\frac{x}{4x+3}\right)\normalsize=1
\rightarrow\large\left(\frac{5x+2}{4x+2}\right)\normalsize=1
\rightarrow 5x+2=4x+3
\rightarrow\left(5x-4x\right)=3-2
\rightarrow x=1
\therefore The value of ‘x’ is = 1.
Ans: Value of x is 1.