1. If the current population of a village is \( 2p \) and the population increases by \( 2r\% \) per year, what will be the population after \( 2n \) years?

2. In Pahlampur village, the current population is 10,000. If the population increases annually at a rate of 3%, calculate and write what the population will be after 2 years.

3. The population of Maharashtra is \(2\times 10^8\). If the population increases at a rate of 12.5% every two years, what will be the population after 6 years?

4. A tree's height increases at a rate of 20% per year. If the current height of the tree is 20 meters, what will its height be after 2 years?

5. If the current price of a machine is ₹\(b\) and its value depreciates by \(r\%\) every year, then after \(n\) years, the value of the machine will be ₹\(b\left(1 - \cfrac{r}{100}\right)^n\).

6. A city with a population of 56,000 has a birth rate of 18% and a death rate of 8%. What will be the population of the city after 4 years?

(a) 81990 (b) 72564 (c) 80000 (d) 79845

7. The current population of a city is 27,200. If the annual population growth rate is 15%, what will be the population of the city after 2 years?

(a) ₹ 91,972 (b) ₹ 59,972 (c) ₹ 25,972 (d) ₹ 35,972

8. The current population of a city is 56,000. If the annual population decline rate is 20%, what will be the population of the city after 2 years?

(a) ₹ 35,000 (b) ₹ 35,840 (c) ₹ 53,840 (d) none of the above

9. The current population of a city is 25,000. If the annual population growth rate is 10%, what will be the population after 2 years?

(a) 30,250 (b) 25,300 (c) 65,300 (d) none of the above

10. If the current population of a city is \(P\) and the annual population growth rate is \(r\%\), then after \(n\) years, the population of the city will be \(P\left(1-\frac{r}{100}\right)^n\).

11. The population of a village increases at a rate of \(\cfrac{x}{2}\)% per year. If the current population is \(xy\), then after \(z\) years, the population will be —

12. In a local lathe workshop, the value of a machine depreciates by 10% each year. If the current value of the machine is ₹100000, calculate and write what its value will be after 3 years.