The population of a village has increased annually at the rate of 50%. If at the end of 3 years it is 13500 the population in the begining of the first year was?
Answer & explanation
Correct answer: option 2
Let the population in starting = P
ATQ,
⇒ P × \(\frac{150}{100}\) × \(\frac{150}{100}\) × \(\frac{150}{100}\) = 13500 (After 3 year)
⇒ P × \(\frac{3}{2}\) × \(\frac{3}{2}\) × \(\frac{3}{2}\) = 13500
⇒ P = 13500 × \(\frac{2}{3}\) × \(\frac{2}{3}\) × \(\frac{2}{3}\)
⇒ P = 4000