Compare the average score of a student at the beginning of a month and at the end of that month, if at first, it increased by 40%, then decreased by 25%
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Answer:

Increased by 5%

Step-by-step explanation:

Let at the beginning the student's score be [tex]s[/tex] points.

At first, it increased by 40%. So, the new score is

[tex]s+0.4s=1.4s[/tex]

Then it decreased by 25%, so the new score is

[tex]1/4s-0.25\cdot 1.4s=1.4s-0.35s=1.05s[/tex]

At the beginning of a month the score was [tex]s[/tex] and at the end of that month the score was [tex]1.05s[/tex]. Since [tex]1.05>1,[/tex] the score increased by [tex]1.05-1=0.05=5\%[/tex]