Math CentralQuandaries & Queries


Question from Joanna, a student:


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?


If D is the discounted price then a reduction of 15% of D leaves a cost of $306. Thus

D - 15% of D = $306

That is

D - 15/100 × D = $306


D - 0.15 × D = $306
0.85 × D = $306
D = $306/0.85 = $360

Thus the discounted price was $360.

This discounted price is a reduction of 10% from the original price. What was the original price?


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