Let the original price of the camera be \( x \).
According to the problem, the camera is discounted by 15%, and the amount of the discount is given as $7.50. Thus, we can set up the equation:
\[ 0.15x = 7.50 \]
To find \( x \), we divide both sides by 0.15:
\[ x = \frac{7.50}{0.15} \]
Calculating the right side:
\[ x = 50 \]
Thus, the original price of the camera is \( \boxed{50.00} \).