Let us assume the original price of the violin to be = x
Sale price of the violin after discount = $50
Percentage of discount given on the violin = 50%
The
(50/100) * x = 50
x/2 = 50
x = 50 * 2 dollars
= 100 dollars
So the original price of the violin was $100. I hope the procedure is clear enough for you to understand. You can always use this procedure for solving similar problems without the necessity of taking any external help.