The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

Answer: Option C

Let the numbers be x and y
Then,
$$xy=9375\text{ and }\frac{x}{y}=15$$
$$\begin{array}{rl}& \iff \frac{xy}{\left(\frac{x}{y}\right)}=\frac{9375}{15}\\ & \iff y^2=625\\ & \iff y=25\\ & \therefore x=15y\\ & \Rightarrow x=15\times 25\\ & \Rightarrow x=375\end{array}$$
∴ Sum of the numbers :
= 375 + 25
= 400