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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

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

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1 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
11 years ago

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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