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The population of a town increases annually by $25 %$ if the preset population is $1$ crore, then what was the difference between the population three years ago and two years ago?

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25, 00, 000

crore

12, 80, 000

crore

15, 60, 000

crore

None of these

answer is B.

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Detailed Solution

Given that population increases annually by

25 %

.
Let population

3

years ago be

x

\Rightarrow

Population two years ago was

\frac{125}{100} x

.
Population last year was

\frac{125 \times 125}{10000} x

.
Population this year is,

\frac{125 \times 125 \times 125}{1000000} x = 10000000

\Rightarrow

x = 5120000

So, the population 3 years ago was 5120000.
Difference between population three years ago and two years ago,

25 %

x

\Rightarrow

\frac{25}{100} \times 5120000

\Rightarrow

25 \times 51200

\Rightarrow

1280000

So, the difference between the population three years ago and two years ago is 1280000 crore.
Hence, the correct option is 2.

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The population of a town increases annually by 25% if the preset population is 1crore, then what was the difference between the population three years ago and two years ago?

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The population of a town increases annually by $25 %$ if the preset population is $1$ crore, then what was the difference between the population three years ago and two years ago?