Advertisements
Advertisements
Question
The population of a city is 1,25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively. Calculate the population of the city after 3 years.
Advertisements
Solution
Here net growth = (5.5 - 3.5)% = 2%
P = ₹ 1,25,000
n = 3 years
∴ Population of the city after 3 years
= 1,25,000 `(1 + 2/100)^3`
= 1,25,000 `((102)/(100))^3`
= 1,25,000 x `(102 xx 102 xx 102)/(100 xx 100 xx 100)`
= 1,32,651.
RELATED QUESTIONS
Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?
The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The original cost.
The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.
Calculate the amount and the compound interest for the following:
Rs 10,000 for 3 years if tl1e rates of interest are 10%, 11% and 12% for the successive years.
On what sum of money will the compound interest for `2 1/2` years at 12% per annum amount to Rs 8,241.60?
Calculate the rate per cent at which Rs 16,000 will yield Rs 3,876.75 as compound interest in 3 years.
The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?
The S.I. and C.I. on a sum of money for 2 years is Rs. 200 and 210 respectively. If the rate of interest is the same. Find the sum and rate.
