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The number of students in a school increases every year by 5%. If the number of the students in 2023 is 5,670, what was the number of students in
Question

The number of students in a school increases every year by 5%. If the number of the students in 2023 is 5,670, what was the number of students in 2022?

A.

5,230

B.

5,330

C.

5,400

D.

5,430

Correct option is C

Given:

The number of students in 2023 = 5670

Annual increase rate = 5%

We are to find the number of students in 2022 (i.e., 1 year before the increase)

Formula Used:

Original Value =Increased Value1+r100 \frac{\text{Increased Value}}{1 + \frac{r}{100}}

Where:

Increased Value = value after increase

r = rate of increase

Solution:

Students in 2022 =56701+5100= \frac{5670}{1 + \frac{5}{100}}

=56701.05 \frac{5670}{1.05}

= 5400

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