Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

The present population of a town is 35,000. If the population becomes 35,700 next year, the rate of growth is
A.2%
B.20%
C.70%
D.7%

Answer
VerifiedVerified
471.3k+ views
like imagedislike image
Hint: Here we will use the basic formula of the population increment. We will substitute the given values in the formula and simplify it further to get the value of the rate of growth of the population. The rate of growth of population means the increase in percentage in the population during a certain period of time.

Formula used:
Population in t years is Pt=P0(1+R100)t where, P0 is the initial population and R is the rate of growth of population

Complete step-by-step answer:
Given present population is 35,000 i.e. P0=35000.
It is given that if the population becomes 35,700 next year i.e. P1=35700.
We know that the increase in the population is a compound concept i.e. it follows the compound increasing pattern.
Now we will use the formula Pt=P0(1+R100)t to get the rate of growth by putting the values in it and taking time as 1 year. Therefore, we get
P1=P0(1+R100)1
35700=35000(1+R100)
Now we will simplify the above equation we will get the value of the rate of growth of the population i.e. R.
Dividing both sides by 35000, we get
(1+R100)=3570035000
Subtracting 1 from both sides, we get
R100=35700350001
Simplifying above equation, we get
R=3570035000×100100
R=102100=2%
Hence the rate of growth of the population is equal to 2%.
So, option A is the correct option.

Note: Here we should note that the population follows the basic concept of compound interest. While calculating the value of the rate of growth of population from the formula, the growth rate we get will be in terms of the percentage so we don’t have to convert it into the percentage. Whenever the term rate is attached to anything it varies with the time which means it varies i.e. increases or decreases with respect to the time. Time taken in the formula of the population is always or mostly in years.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
EMI starts from ₹3,487.34 per month
Select and buy