Question

The population of a town increases by 5% annually if it is 15435 now its population 2 years ago was

Answer 1

Hello Dear.

Here is the answer---

Given ⇒

Present Population of the Town(A) = 15435.
Rate of Increment(r%) = 5%.
Time(n) = 2 years.


Now, Using the Formula,

 Present Population = Population n years ago × [1 + r/100]ⁿ
 15435 = P [1 + 5/100]²
15435 = P[ 1 + 1/20]²
15435 = P[21/20]²
15435 = P [441/400]
⇒ P = 15435 × 400/441
⇒ P = 35 × 400
⇒ P = 14000

∴ Population of the town 2 years ago is 14000.


Hope it helps.

Answer 2

Answer:

Tell me the shortcut method