x * 0.8 = 165 (0.8 = 80 percent of the original price)
x = $206.25
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Let the original price be x; The 15% of x is 15/100 × x → the original price less the discount gives the price paid: x - 0.15x = 27 → 0.85x = 27 You can now solve for x. ------------------------------------------- You can also work in percentages: the whole price is 100% The discount is 15% → the amount paid is 100% - 15% = 85% → 85% of x = 27 → 85/100 × x = 27 → 0.85x = 27 as before
Let's think money. If 5% was taken off, then the amount paid represents 95% of the original amount. So, to find the original amount, think that 95% of the original amount = paid amount And to solve, divide the amount paid by the percent you paid. In general divide by (100% minus the percent taken off).
If you got 20% discount then you paid 80% of the full price. If 120 is 80% then 100% is 150 ie 120 x 100/80
Call the unknown regular price r. Then from the problem statement, r(1 - 0.35) = 89.43, or r = 89.43/0.65 = 137.58 (if the 35 percent is assumed to be exact).
If the regular price was x dollars, then the sales price equals to the 65% of the regular price So we have65% of x = 90.370.65x = 90.37x = 90.37/0.65x ≈ 139.03Thus, the regular price was $139.03.