Understanding Population Growth Calculation
The question asks us to calculate the future population of a city based on its current population and a consistent annual growth rate over a specific period. This is a typical compound growth problem.
Given Information:
- Present Population (P): 60,000
- Annual Rate of Increase (R): 10%
- Time Period (T): 2 years
Calculating Future City Population
To find the population after 2 years, we can use the formula for compound growth, which is similar to the formula used for compound interest:
Future Population = Present Population $\times$ (1 + Rate of Increase / 100)$^{\text{Number of Years}}$
In mathematical terms:
Future Population = $P \times \left(1 + \frac{R}{100}\right)^T$
Step-by-Step Calculation:
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Substitute the values into the formula:
Future Population = $60,000 \times \left(1 + \frac{10}{100}\right)^2$
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Simplify the term inside the parenthesis:
$\frac{10}{100} = 0.10$
So, $\left(1 + \frac{10}{100}\right) = (1 + 0.10) = 1.10$
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Calculate the exponential term:
$(1.10)^2 = 1.10 \times 1.10 = 1.21$
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Multiply the present population by the result:
Future Population = $60,000 \times 1.21$
Future Population = $72,600$
Conclusion
After 2 years, with a consistent 10% annual increase rate, the population of the city will be 72,600.
Similar Questions
A person, while trading the shares of a particular company, observes that its price has gone down by 10% from the previous day. In anticipation of increment on the next day, he holds it for the next day. But the share price further falls down by another 8% of the previous day. Then he sells his shares and gets ₹12,420. How much could he have saved had he sold it the previous day?
The price of an AC increases and decreases in every alternate year by $1\frac{3}{5}\%$. It started with an increase in 2004. The price of the AC in 2007, as compared to that in 2004 (correct to two places of decimals):
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The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
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Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
