The product of two positive numbers is 11520 and their quotient is 9/5 . Find the difference between two numbers.

Answer: Option B

Let x and y are two numbers (x > y)
According to the question,
$$\begin{array}{rl}& xy=11520\\ & \frac{x}{y}=\frac{9}{5}\Rightarrow \boxed{x=\frac{9y}{5}}\\ & \text{put the value of x in eq}\text{. (i)}\\ & \frac{9\text{y}}{5}\times \text{y = 11520 }\\ & \Rightarrow {\text{y}}^2=6400\\ & \Rightarrow \boxed{\text{y = 80}}\\ & 80\text{x = 11520 }\\ & \Rightarrow \boxed{\text{x = 144}}\\ & \text{x - y = 144 - 80 = 64 Ans}\text{.}\end{array}$$