Question

In 2014 the price of one share of a certain stock increased by 20 percent from January 1 to February 1 , decreased by n percent from to February 1 to March 1, and increased by 21percent from March 1 to April 1. If the price of one share of the stock increasedby 5 percent from January 1 to April 1 in 2014, what is the value of n

Answer 1

To find the value of n, use the concept of percentage change and the given information. Set up the equation and solve for n, which is -36%.

Step-by-step explanation:

To find the value of n, we need to use the concept of percentage change and the given information. Let's break down the problem step by step:

1. The stock price increased by 20% from January 1 to February 1.
2. The stock price decreased by n% from February 1 to March 1.
3. The stock price increased by 21% from March 1 to April 1.

Using the given information, we can set up the equation:
Change in price from January 1 to April 1 = 5%
(20% + n% + 21%) = 5%

Simplifying the equation, we get:
20% + n% + 21% = 5%
41% + n% = 5%

Now, we can solve for n by rearranging the equation:
n% = 5% - 41%
n% = -36%

Therefore, the value of n is -36%.