GATE (GA) Textile 2014 Question Paper Solution | GATE/2014/GA/05

Question 05 (General Aptitude)

The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate ?

(A)	3-4 years
(B)	4-5 years
(C)	5-6 years
(D)	6-7 years

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Given in the question-
Initial population(P)=5 million
Growth rate (r)=20% annually
Final population(A)=10 MILLION
No. of years(n)=?
By formula-
$A=P(1+\frac{r}{100})^n$
$10=5(1+\frac{20}{100})^n$
$2=(1+\frac{20}{100})^n$
$2=(1+0.20)^n$
$2=(1.2)^n$
n= 3 to 4 years (Ans)
Option A is correct.

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