Fabrizzio went shopping on Tuesday and decided to purchase a pair of pants that is 15% off the regular price. If he waits and buys the pants on Wednesday, he will receive an additional 5% off. What percent would Wednesday's sale price be of the original price for the pants? Round to the nearest whole percent. Choose 1 answer: (A) 81% (B) 85% (c) 95% (D) 105%

Question

Fabrizzio went shopping on Tuesday and decided to purchase a pair of pants that is  15% off the regular price. If he waits and buys the pants on Wednesday, he will receive an additional  5% off. What percent would Wednesday's sale price be of the original price for the pants? Round to the nearest whole percent. Choose 1 answer: (A)  81% (B)  85% (c)  95% (D)  105%

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Calculate Percentage Tuesday Discount: Calculate the percentage of the original price that Fabrizzio pays on Tuesday after the 15% discount. The formula for the sale price after a discount is: Sale Price = Original Price × (1 - Discount Percentage). For Tuesday, the discount percentage is 15%, or 0.15 as a decimal. So, the percentage of the original price he pays on Tuesday is 1 - 0.15 = 0.85 or 85%.Calculate Effective Discount Wednesday: Calculate the effective discount on Wednesday. On Wednesday, there is an additional 5% discount on the already reduced price. The additional discount is 5%, or 0.05 as a decimal. The effective discount on Wednesday is not simply 15% + 5% = 20%, because the second discount is applied to the reduced price, not the original price.Calculate Percentage Wednesday Discount: Calculate the percentage of the reduced price that Fabrizzio pays on Wednesday after the additional 5% discount. The formula for the additional discount on Wednesday is: Wednesday Price = Tuesday Price × (1 - Additional Discount Percentage). The percentage of the Tuesday price he pays on Wednesday is 1 - 0.05 = 0.95 or 95%.Calculate Overall Percentage: Calculate the overall percentage of the original price that Fabrizzio pays after both discounts. To find the overall percentage, we multiply the percentages from Step 1 and Step 3. Overall Percentage = 85% (Tuesday's price as a percentage of the original price) × 95% (Wednesday's price as a percentage of Tuesday's price). Convert these percentages to decimals for the calculation: 0.85 × 0.95.Perform Calculation Overall Percentage: Perform the calculation to find the overall percentage. Overall Percentage = 0.85 × 0.95 = 0.8075. Convert this decimal back to a percentage by multiplying by 100: 0.8075 × 100 = 80.75%. Round to the nearest whole percent: 81%.Choose Correct Answer: Choose the correct answer from the options provided. The correct answer is (A) 81%, as this is the rounded percentage of the original price that Wednesday's sale price would be.

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