Advertisements
Advertisements
प्रश्न
The population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.
Advertisements
उत्तर
Vn = 27 ,783; V0 = 24,000 ; r = ? ; t = 3 years
`"V"_"n" = "V"_0 (1 + "r"/100)^"n"`
27783 = 24000 `(1 + "r"/100)^3`
`27783/24000 = (1 + "r"/100)^3`
`21^3/20^3 = (1 + "r"/100)^3`
`(1 + "r"/100) = 21/20`
`"r"/100 = 21/20 -1`
`"r"/100 = 1/20`
r = `1/20 xx 100`
r = 5 %
The rate of growth of population is 5 %.
APPEARS IN
संबंधित प्रश्न
The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 6,000 for `1 1/2` years at 10 % p.a.
Calculate the amount and the compound interest for the following:
Rs 20,000 for 2 years if the rates of interest are `12 1/4` and `5 1/2` for the successive years.
Find the difference betlween the compound interest compounded yearly and half-yearly for the following:
Rs 15,000 for `1 1/2` years at 12 % p.a.
On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?
The population of a village increases at the rate of 50 per thousand. Its population after 2 years will be 22,050. Find the present population.
In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.
Under the electrification programme of villages, the number of villages with electricity rose to 27,040 from 25,000 in 2 years. Find the rate of growth in the number of villages with electricity.
A building worth Rs 1, 33,100 is constructed on a plot of land worth Rs 72,900. After how many years will the values of both be same, if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?
The cost of a T.V. was quoted Rs 17,000 at the beginning of the year 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 is the cost of the T.V. in 2001?
