16. A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?
Answer: A
The original price of the recliner is $451.
To find the original price of the recliner, we first determine the sale price after applying the 30% discount and then account for the additional 25% coupon discount, leading us to the original price calculation.
A) $451
This option is correct. If the original price is $451, a 30% discount would reduce it to $315.70. Applying an additional 25% discount to the sale price gives $237.75, which rounds to $237, matching the price the consumer paid.
B) $527
This option is incorrect. An original price of $527 would result in a sale price of $368.90 after a 30% discount. With a further 25% discount, the final price would be approximately $276.68, which does not align with the amount paid by the consumer.
C) $316
This option is also incorrect. If the original price were $316, after a 30% discount the sale price would be $221.20. Applying a 25% discount results in a final price of $165.90, which is significantly lower than the $237 paid.
D) $431
This option is incorrect as well. An original price of $431 would result in a sale price of $301.70 after the 30% discount. After applying an additional 25% discount, the final price would come to about $226.28, which does not match the price the consumer paid.
Conclusion
The calculations confirm that the only option that leads to the correct final price of $237 after applying both discounts is $451. All other options result in final prices that do not correspond to the amount the consumer actually paid, validating that $451 is indeed the correct original price of the recliner.