Question

What is the percentage change when 25 is increased to 45?

Answer 1

Hint: To calculate the percentage change when 25 is increased to 45, we must first subtract the initial value from the final value, then divide it by the old value. Once we have the figure, we must multiply it by 100 to obtain the percentage. The value that is obtained will be the required value.

Complete step by step solution:
Now, to solve this first of all we have to learn about percentages. Percentage refers to the number of times something occurs in a hundred. To begin, calculate the total or entire amount. Following that, we must divide the number to be expressed as a percent by the total. In the vast majority of circumstances, we will divide the smaller number by the larger number. Finally, we must multiply the result by a hundred to reach the desired result.
Now we have to find out the percentage change when 25 is increased to 45.
We can simply apply the formula to find the percentage change.
The formula is $${\displaystyle \frac{\text{Final}\text{value}-\text{Initial}\text{value}}{\text{Initial}\text{value}}}\times 100$$
We have the Final value as 45 and the new value as 25.
And substituting these values on formula we get:
$${\displaystyle \frac{\text{45}-\text{25}}{\text{25}}}\times 100$$
By simplifying this we get:
$$\Rightarrow {\displaystyle \frac{20}{\text{25}}}\times 100=0.8\times 100=80$$
The percentage change when 25 is increased to 45 is $$80$$.
So, the correct answer is “80%”.

Note: We have to calculate it with respect to the initial value as we are finding the change from the initial number to the final number. We can use percentages in our daily lives to calculate grades or scores, profit or loss percentages, discount percentages, and the blood content of a body, among other things.