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
Q. 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
Calculate Price Before Discount: Calculate the price after the $10 markdown but before the 25% discount.Since the final price is after an additional 25% discount, we need to find the price before this discount. Let's call this price P.The final price is 75% of P because a 25% discount was applied.So, 0.75×P=$36.27
Solve for Price: Solve for P to find the price before the 25% discount.P=0.75$(36.27)P=$(48.36)This is the price after the $10 markdown but before the 25% discount.
Calculate Original Price: Calculate the original price before the $10 markdown.Let's call the original price O.We know that O−$10=$48.36 (since the item was marked down by $10 to get to the price before the 25% discount).So, O=$48.36+$10O=$58.36
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