Final answer:
To find the original price of an item before a 45% reduction, divide the discounted price by 1 minus the reduction percentage. The formula to use is Original Price = Discounted Price / (1 - Reduction Percentage). None of the given options match the example calculated original price of $118.18.
Step-by-step explanation:
To determine the original price of the bike before a 45% reduction, you can use the following formula: Original Price = Discounted Price / (1 - Reduction Percentage).
For example, if the total after a 45% reduction is $65.00 (as per our reference totals), we rearrange the formula to find the original price:
Original Price = $65.00 / (1 - 0.45) = $65.00 / 0.55 = $118.18 (rounded to two decimal places).
Since none of the options given ($75, $150, $200, $220) match this calculated original price, it suggests either the options provided are incorrect, or the total after reduction does not correspond with the available options.
However, to answer this question, you would use the total provided to calculate what the original price was using the formula above. You'd do this for each of the given totals to determine which one is correct.