Question 127579
The original price was x.  So after the 10% discount the price was {{{0.9x}}}.  That price was then discounted 15%, so the price is now {{{(0.85)(.9)x}}}, but we know this expression is equal to $306, because that is what was paid.  So:


{{{(0.85)(.9)x=306}}}


{{{0.765x=306}}}


{{{x=306/.765}}}


{{{x=400}}}


Check:

If the original price was 400, the 10% discount price would have been 400 - 40 = 360, then the 15% discount would have been 360 * .15 = 54, so the final price would be 360 - 54 = 306.  Checks.