The original price of an article was reduced by 25%. During a special sale, the new price was decreased by 10%. By appro

M7MBA wrote: ↑

Wed May 20, 2020 7:53 am

The original price of an article was reduced by 25%. During a special sale, the new price was decreased by 10%. By approximately what percentage would the new price have to be increased in order to restore the price of the article to its original amount?

A. 32.5%
B. 35%
C. 48%
D. 65%
E. 67.5%

[spoiler]OA=C[/spoiler]

Let’s let the original price of the article be 100. In the first reduction, it was reduced by 25% and thus becomes 75. In the second reduction, it was reduced by 10% and thus becomes (0.9)(75) = 67.5. We note that the price must increase by 32.5 to be restored to the original price, and 32.5 is very close to, but less than, half of 67.5; therefore, the answer must be very close to, but less than, 50%. Scanning the answer choice, 48% fits our criteria.

Answer: C