![]() ![]() The most common misconception is finding the given percentage of the new amount and then simply adding or subtracting this back on to the new amount Misconceptions of Calculating Reverse Percentages Misconceptions around calculating reverse percentages are almost always to do with deviating from the correct process. Therefore dividing $6800 by 0.85 ‘reversed’ this process so we could find that the original price was $8000.ĭividing by a decimal number between 0 and 1 will make a number larger. Multiplying $8000 by 0.85 would reduce the original price to the new price of $6800. Basically, $6800 was 85% of the original price. We reduced 100% by 15% to get 85% of the total price. It was $8000 and after a discount of 15% its new value was $6800. The explanation of the mathematics in this example is that the car was originally more expensive before the discount. Therefore, the original price of the car before the discount was $8000. We divide the new amount by the decimal multiplier. we found that the decimal multiplier was 0.85. The new amount is is the current price of the car, which is $6800. Divide the new amount by this decimal multiplier We now divide this percentage by 100 to write it as a ‘decimal multiplier’. Write the percentage change as a decimal multiplierĪ discount is a percentage decrease therefore we subtract 15% from 100%. So the original price we are calculating will be higher than $6800. In this example, the new price of a car was 15% less than its original price. Therefore the original price of the television = $990 ÷ 0.90 = $1100.Įxample of finding an original amount after a percentage decrease:Ī car is sold at a 15% discount for $6800. The original cost of the television is equal to the sale price of the television divided by the decimal multiplier. ![]() What did it cost before the sale?ġ00% – 10% = 90% so following the 10% discount, the television is at 90% of its original price. ![]() The sale price of the television is $990. To find an original number after a percentage change, divide the new number by the decimal multiplier The trick for finding reverse percentagesįor example: A television is on sale with a 10% discount. Divide this new percentage by 100 to make the decimal multiplier.If the percentage change is an increase, add it to 100% or if the percentage change is a decrease, subtract it from 100%. ![]()
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