Question

В понедельник акции компании подорожали на некоторое число процентов, а во вторник подешевели на то же самое число процентов. В результате они стали стоить на 4% дешевле, чем при открытии торгов в понедельник.На сколько процентов подорожали акции компании в понедельник?

Answer 1

пусть в понедельник акции стоили а рублей

a+ax- стоимость после подорожания

(a+ax)-(a+ax)x- после вторника a-0,04a

(1+x)-(1+x)x=0,96

1+x-x-x^2=0,96

x^2=0,04

x=0,2

ответ на 20 процентов

Answer 2

Calculation of the Percentage Increase in Stock Price on Monday

To calculate the percentage increase in the stock price on Monday, we need to consider the information provided. The stocks of the company increased by a certain percentage on Monday and then decreased by the same percentage on Tuesday, resulting in a 4% decrease compared to the opening price on Monday.

Let's assume the initial stock price on Monday is represented by P. The percentage increase in stock price on Monday can be represented by x. Therefore, the stock price on Monday can be calculated as:

P + (P * x/100)

According to the given information, the stock price decreased by the same percentage on Tuesday. So, the stock price on Tuesday can be calculated as:

(P + (P * x/100)) - ((P + (P * x/100)) * x/100)

The resulting stock price on Tuesday is 4% lower than the opening price on Monday. Therefore, we can set up the following equation:

(P + (P * x/100)) - ((P + (P * x/100)) * x/100) = P - (P * 4/100)

Simplifying the equation, we get:

(P * x/100) - ((P * x/100) * x/100) = P * 4/100

Now, we can solve this equation to find the value of x, which represents the percentage increase in stock price on Monday.

Please note that the search results provided do not directly answer the question. However, we can use the equation and the given information to find the solution.