SOLUTION: A man purchased an electronic calculator by paying 945 which includes a rebate of 10% on the marked price and a sales tax of 5%. Find the marked price of the calculator.

Question 892507: A man purchased an electronic calculator by paying 945 which includes a rebate of 10% on the marked price and a sales tax of 5%. Find the marked price of the calculator.
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
Set x = the original price of the calculator
(x-0.10x)+ 0.05*(x-0.10x)
In the above, (x-0.10x) represents the original price - 10% of the original price.
(x-0.10x)*0.05 represents 5% times original price - 10%
******************
(x-0.10x)+ 0.05*(x-0.10x)
(0.9x) + 0.05(0.9x)
(0.9x) + (0.045x)
(0.9+0.045)x
(0.945)x
So (0.945)x = 945
divide each side by 0.945
x = 945/0.945
x = 1000
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