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Fabrizzio went shopping on Tuesday and decided to purchase a pair of pants that is 15%15\% off the regular price. If he waits and buys the pants on Wednesday, he will receive an additional 5%5\% off. What percent would Wednesday's sale price be of the original price for the pants? Round to the nearest whole percent.\newlineChoose 11 answer:\newline(A) 81%81\%\newline(B) 85%85\%\newline(C) 95%95\%\newline(D) 105%105\%

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Q. Fabrizzio went shopping on Tuesday and decided to purchase a pair of pants that is 15%15\% off the regular price. If he waits and buys the pants on Wednesday, he will receive an additional 5%5\% off. What percent would Wednesday's sale price be of the original price for the pants? Round to the nearest whole percent.\newlineChoose 11 answer:\newline(A) 81%81\%\newline(B) 85%85\%\newline(C) 95%95\%\newline(D) 105%105\%
  1. Calculate Percentage Paid on Tuesday: Calculate the percentage of the original price that Fabrizzio pays on Tuesday after the 15%15\% discount.\newlineThe discount on Tuesday is 15%15\%, so Fabrizzio pays 100%−15%=85%100\% - 15\% = 85\% of the original price.
  2. Convert Tuesday's Percentage to Decimal: Convert the Tuesday's percentage to a decimal to use in further calculations.\newline85%85\% as a decimal is 0.850.85.
  3. Calculate Percentage Paid on Wednesday: Calculate the percentage of the reduced price that Fabrizzio pays on Wednesday after the additional 5%5\% discount.\newlineThe additional discount on Wednesday is 5%5\%, so Fabrizzio pays 100%−5%=95%100\% - 5\% = 95\% of Tuesday's price.
  4. Convert Wednesday's Percentage to Decimal: Convert Wednesday's percentage to a decimal.\newline95%95\% as a decimal is 0.950.95.
  5. Calculate Overall Percentage Paid After Discounts: Calculate the overall percentage of the original price that Fabrizzio pays after both discounts.\newlineTo find the combined discount, multiply the decimal values of Tuesday's and Wednesday's prices: 0.85×0.950.85 \times 0.95.
  6. Perform Multiplication for Combined Percentage: Perform the multiplication to find the combined percentage as a decimal. 0.85×0.95=0.80750.85 \times 0.95 = 0.8075.
  7. Convert Combined Decimal to Percentage: Convert the combined decimal back to a percentage. 0.80750.8075 as a percentage is 80.75%80.75\%, which rounds to the nearest whole percent as 81%81\%.
  8. Choose Correct Answer: Choose the correct answer from the given options.\newlineThe correct answer is (A) 81%81\%.

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