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The population of a village declined by 5% every year if the present population of the village is 1444 find the population of the village 2 years back?
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The population of a village declined by 5% every year if the present p...
Understanding Population Decline
In this problem, we need to calculate the population of a village two years back, given that the current population is 1444 and it declines by 5% each year.
Population Decline Formula
To find the population from previous years, we can use the formula:
- Current Population = Previous Population * (1 - Decline Rate)
For a decline of 5%, the formula becomes:
- Current Population = Previous Population * (0.95)
Calculating the Population for One Year Back
First, we will find the population one year ago:
- Let the population one year ago be P1.
Using the formula:
- 1444 = P1 * 0.95
To find P1, we rearrange the formula:
- P1 = 1444 / 0.95
- P1 = 1520
Calculating the Population for Two Years Back
Now, we can calculate the population from two years ago:
- Let the population two years ago be P2.
Using the same formula:
- P1 = P2 * 0.95
Substituting P1:
- 1520 = P2 * 0.95
Rearranging gives:
- P2 = 1520 / 0.95
- P2 = 1600
Conclusion
Therefore, the population of the village two years back was:
- 1600
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The population of a village declined by 5% every year if the present population of the village is 1444 find the population of the village 2 years back?
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