Advertisements
Advertisements
प्रश्न
Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of 4%, 5% and 3% respectively, find the present population.
Advertisements
उत्तर
Here,
P = Initial population = 50, 000
\[ R_1 = 4 % \]
\[ R_2 = 5 % \]
\[ R_3 = 3 % \]
n = Number of years = 3
∴ Population after three years = P \[\left( 1 + \frac{R_1}{100} \right)\left( 1 + \frac{R_2}{100} \right)\left( 1 + \frac{R_3}{100} \right)\]
\[ = 50, 000\left( 1 + \frac{4}{100} \right)\left( 1 + \frac{5}{100} \right)\left( 1 + \frac{3}{100} \right)\]
\[ = 50, 000\left( 1 . 04 \right)\left( 1 . 05 \right)\left( 1 . 03 \right)\]
\[ = 56, 238\]
Hence, the population after three years is 56, 238.
संबंधित प्रश्न
The population of a place increased to 54000 in 2003 at a rate of 5% per annum Find the population in 2001.
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would be its population in 2005?
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 5000, Rate = 10 paise per rupee per annum, Time = 2 years
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 160000, Rate = 10 paise per rupee per annum compounded half-yearly, Time = 2 years.
In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?
Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a.
Find the amount and the compound interest on ₹ 4,000 in 2 years, if the rate of interest for the first year is 10% and for the second year is 15%.
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.
The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
