Question
A man owns stock valued at
. One day the stock drops by
, and then gains the same percentage
back the next day. How much money is the stock valued at the end of the second day?
Question Help: Message instructor
Submit Question
back the next day. How much money is the stock valued at the end of the second day?
Question Help: Message instructor
Submit Question
Ask by Wade Cruz. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
After the stock drops by 7% and then gains 7% back, it is valued at approximately $2786.28 at the end of the second day.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
When the stock drops by
, the value decreases to
dollars. On the following day, the stock gains
of its new value. So, the new value becomes
dollars at the end of the second day.
Surprisingly, even though the stock returned to a similar percentage increase, it did not return to its original value. This phenomenon illustrates how percentage changes can lead to differing outcomes, a fact that’s crucial for investors to understand when dealing with stock market fluctuations.
To avoid confusion with percentage changes, remember that the base amount changes after each fluctuation. A common mistake is to assume that if something loses and then gains the same percentage, it will end up being the same as before. Using specific numbers while calculating can clarify the situation while avoiding misinterpretation of gains and losses!