Advertisements
Advertisements
प्रश्न
The population of a city is 125000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of city after 3 years.
Advertisements
उत्तर
Here, P = Initial population = 1,25,000
Annual birth rate = `"R"_1` = 5.5 %
Annual death rate = `"R"_2` = 3.5 %
Net growth rate, R = \[\left( R_1 - R_2 \right) = 5.5 - 3.5 = 2 %\]
n = Number of years = 3
∴ Population after three years = P \[ \left( 1 + \frac{R}{100} \right)^n \]
\[=1,25,000\left(1+\frac{2}{100}\right)^3 \]
\[=1,25,000\times\left(1.02\right)^3\]
\[= 1,32,651\]
Hence, the population after three years will be 1,32,651.
APPEARS IN
संबंधित प्रश्न
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 3000, Rate = 18%, Time = 2 years
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 2000, Rate = 4 paise per rupee per annum, Time = 3 years
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 10000, Rate 20% per annum compounded half-yearly, Time = 2 years
The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.
Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.
Jitendra set up a factory by investing Rs 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.
The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9680, for how much was it purchased?
The cost of a T.V. set was quoted Rs 17000 at the beginning of 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. set in 2001?
The value of a car, bought for Rs 4,40,000 depreciates each year by 10% of its value at the beginning of that year. So its value becomes Rs 3,08,000 after three years.
