Final answer:
The number 25 was increased by 20 percent to reach 30. This was calculated by subtracting the original number from the new number, dividing by the original number, and multiplying by 100 to express it as a percentage.
Step-by-step explanation:
The student has increased the number 25 by a certain percentage to achieve the new number 30. To find out by what percent the number has been increased, we use the formula for percentage change, which is:
Percentage Increase = [(New Number - Original Number) / Original Number] × 100%
In this case,
Original Number = 25
New Number = 30
First, we calculate the difference between the new number and the original number:
30 - 25 = 5
Then we divide this difference by the original number, and multiply by 100 to convert it to a percentage:
(5 / 25) × 100 = 0.20 × 100 = 20%
Thus, the number 25 was increased by 20 percent to get to 30.