Advertisements
Advertisements
Question
There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9,261, what population was 3 years ago?
Advertisements
Solution
Let P be the population 3 years ago.
Then, present population = P x `(1 + 5/100)^3`
∴ 9,261 = `("P" xx (21)/(20) xx (21)/(20) xx (21)/(20))`
or P = `(9,261 xx (20)/(21) xx (20)/(21) xx (20)/(21))`
= 8,000
Hence, 3years ago the population of village was = 8,000.
RELATED QUESTIONS
Calculate the amount and the compound interest for the following:
Rs. 7500 at 12% p.a. in 3 years.
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Calculate the interest for the fourth year.
Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interesL
Find he tol interest paid by him.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The Compound Interest paid by Nimish
Calculate the amount and the compound interest for the following :
Rs. 12500 for 2 years at 8% for the first year and 10% for the second year.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 25,000 for 3 years at 8 % p.a.
How much will Rs. 50,000 amount to in 3 years, compounded yearly, if the rates for the successive years are 6%, 8% and 10% respectively?
Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.
A man lends Rs. 12,500 at 12% for the first year, at 15% for the second year and at 18% for the third year. If the rates of interest are compounded yearly ; find the difference between the C.I. fo the first year and the compound interest for the third year.
