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During 2021, the population of a city increased by 8% and in 2022, it increased by 10%. At the end of 2022, its population was 47520. The population of the city at the end of 2021 was:

  1. A
    40000
  2. B
    43200
  3. C
    42300
  4. D
    44000

Solution & Step-by-step Explanation

Let the population at the end of 2021 be P
2021

.
During 2022, the population increased by 10%.
Therefore, the population at the end of 2022 is:

P
2022

=P
2021

×(1+
100
10

)
47520=P
2021

×1.1
Solving for P
2021

:

P
2021

=
1.1
47520

=
11
475200

=43200

Practice this question

Try it yourself before checking the explanation above.

During 2021, the population of a city increased by 8% and in 2022, it increased by 10%. At the end of 2022, its population was 47520. The population of the city at the end of 2021 was:
A
40000
B
43200
C
42300
D
44000

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