arrow
arrow
arrow
The population of a town increases by 8% annually. If the present population is 45,000, what will be its population after 2 years?
Question

The population of a town increases by 8% annually. If the present population is 45,000, what will be its population after 2 years?

A.

52,488

B.

52,200

C.

52,316

D.

52,532

Correct option is A

Given:
Present population P = 45,000
Annual increase rate r = 8%
Time t = 2 years
Formula Used:
The formula for population after t years with a percentage increase is:
Future Population = P×(1+r100)tP \times \left(1 + \frac{r}{100}\right)^t​​
Where: P = present population, r = annual percentage increase, t = time in years
Solution:
Future Population=45,000×(1+8100)2Future Population=45,000×(1+0.08)2textFuturePopulation=45,000×(1.08)2Future Population=45,000×1.1664=52,488The population after 2 years will be 52,488.\text{Future Population} = 45,000 \times \left(1 + \frac{8}{100}\right)^2\\\text{Future Population} = 45,000 \times \left(1 + 0.08\right)^2\\\\text{Future Population} = 45,000 \times (1.08)^2\\\text{Future Population} = 45,000 \times 1.1664 = 52,488\\\text{The population after 2 years will be 52,488.} 
Alternate Solution:

test-prime-package

Access ‘SSC GD’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
177k+ students have already unlocked exclusive benefits with Test Prime!

Free Tests

Free
Must Attempt

SSC MTS PYQ Vocab-1

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon5 Mins
languageIcon English
Free
Must Attempt

SSC CGL PYQ Vocab-1

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon20 Marks
  • timerIcon5 Mins
languageIcon English
Free
Must Attempt

Idioms & Phrases PYQs -1

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon20 Marks
  • timerIcon5 Mins
languageIcon English