Advertisements
Advertisements
Question
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.
Advertisements
Solution
Vn =46,305; V0 = 40,000 ; r = ? ; t = 3 years
`"V"_"n" = "V"_0 xx (1 + "r"/100)^"n"`
46305 = 40000`(1 + "r"/100)^3`
`46305/40000 = (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 annual rate of growth of scooters is 5 %
RELATED QUESTIONS
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.
Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.
Find Anand's loss or gain.
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.
Find the difference between the compound interest compounded yearly and half-yearly for the following:
Rs 20,000 for `1 1/2` years at 16 % 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.
The present population of a town is 1, 15200.If it increases at the rate of `6 2/3`% per annum , find
Its population after 2 years
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?
A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?
