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the population of a country increased in 10 years at an average rate of 5% per annum. if the average rate of increase during the first 6 years is 3% p.a. find the average rate of increase in the next 4 years
Dear Student
let initial population is P
if for the last 4 years rate is r% then
P(1+5/100)10= P(1+3/100)6 x (1+r/100)4
take log
10ln1.05 = 6ln1.03 + 4ln(1+r/100)
solving ln(1+r/100)=0.0776
(1+r/100)=1.08
r=8 answer
All the best.
AKASH GOYAL
AskiitiansExpert-IITD
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