How do you figure this math question?

An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?





Please explain step by step and how to get the numbers as I am not very good with my math....Thanks!How do you figure this math question?
Suppose the original price is p.





Then 10% discount will give value of 90% x p.





And additional 15% from discounted will give value of 85% x 90% x p.





The purchase is $306, then:


85% x 90% x p = 306





And the original price (or p) must be:


p = 306 / (85% x 90%) = $400How do you figure this math question?
well, if the final is 306, you do 115% (1.15) times 306, or you can do it the long way and do .15 times 306 plus 306. then you do 1.1 times the answer from the first step (or .1 times he answer from 1st step plus answer from first step). then you'll have your answer.