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.
Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.
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 Cornpound Interest for the Following, when Cornpounded Annually:
Rs 12,000 for 3 years at 15 % p.a.
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 3 years at 12% be Rs 1,123.20?
The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.
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
Find the difference between the simple interest and compound interest on 2,500 for 2 years at 4% p.a., compound interest being reckoned semi-annualy.
A sum of money is lent out at compound interest for two years at 20% p.a., being reckoned yearly. If the same sum of the money was lent Gut at compound interest of the same rate of percent per annum C.I., being reckoned half yearly would have fetched Rs. 482 more by way of interest. Calculate the sum of money lent out.
