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A store holiday sale has an item marked down by 
$10 with an additional discount of 
25% off the new price. If the final price was 
$36.27, what was the original?
Choose 1 answer:
(A) 
$19.70
(B) 
$48.36
(c) 
$58.36
(D) 
$61.93

A store holiday sale has an item marked down by $10 \$ 10 with an additional discount of 25% 25 \% off the new price. If the final price was $36.27 \$ 36.27 , what was the original?\newlineChoose 11 answer:\newline(A) $19.70 \$ 19.70 \newline(B) $48.36 \$ 48.36 \newline(C) $58.36 \$ 58.36 \newline(D) $61.93 \$ 61.93

Full solution

Q. A store holiday sale has an item marked down by $10 \$ 10 with an additional discount of 25% 25 \% off the new price. If the final price was $36.27 \$ 36.27 , what was the original?\newlineChoose 11 answer:\newline(A) $19.70 \$ 19.70 \newline(B) $48.36 \$ 48.36 \newline(C) $58.36 \$ 58.36 \newline(D) $61.93 \$ 61.93
  1. Calculate Price Before Discount: Calculate the price after the $10\$10 markdown but before the 25%25\% discount.\newlineSince the final price is after an additional 25%25\% discount, we need to find the price before this discount. Let's call this price PP.\newlineThe final price is 75%75\% of PP because a 25%25\% discount was applied.\newlineSo, 0.75×P=$36.270.75 \times P = \$36.27
  2. Solve for Price: Solve for PP to find the price before the 25%25\% discount.P=$(36.27)0.75P = \frac{\$(36.27)}{0.75}P=$(48.36)P = \$(48.36)This is the price after the $10\$10 markdown but before the 25%25\% discount.
  3. Calculate Original Price: Calculate the original price before the $\$1010 markdown.\newlineLet's call the original price OO.\newlineWe know that O$10=$48.36O - \$10 = \$48.36 (since the item was marked down by $10\$10 to get to the price before the 2525% discount).\newlineSo, O=$48.36+$10O = \$48.36 + \$10\newlineO=$58.36O = \$58.36

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