1. If the current price of a machine is ₹2p and its value decreases by 2r% each year, then after 2n years the price of the machine will be:

(a) ₹ p\((1-\cfrac{r}{100})^n\) (b) ₹ p\((1-\cfrac{r}{50})^n\) (c) ₹ p\((1-\cfrac{r}{50})^{2n}\) (d) ₹ 2p\((1-\cfrac{r}{50})^{2n}\)

2. 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 ₹\(b\left(1 - \cfrac{r}{100}\right)^n\).

3. The current price of a machine is \( 2p \) rupees, and its value decreases by \( 2r\% \) annually. After \( 2n \) years, the price of the machine will be \( 2p\left(1 - \cfrac{2r}{100}\right)^{2n} \) rupees.

4. The price of a machine decreases by \(2r\%\) each year. If the current price is \(2p\) rupees, then the price of the machine \(2n\) years ago was ___.

5. The current price of an item is ₹100, and if its price decreases at an annual rate of 10%, then after 2 years the price of the item will be ₹81.

6. If the price of a washing machine is ₹12,000 and the annual appreciation rate is 10%, what will be its price after 3 years?

(a) ₹ 14,972 (b) ₹ 15,972 (c) ₹ 12,152 (d) ₹ 12,972

7. The price of a mobile phone decreases by 5% annually. If its current price is ₹16,400, what will be its price after 2 years?

(a) ₹ 15,801 (b) ₹ 14,801 (c) ₹ 13,401 (d) ₹ 12,801

8. If the value of a machine depreciates by \(r \%\) each year, then after \(n\) years, its value becomes \(V\) rupees. The value of the machine \(n\) years ago was \(V\left(1-\cfrac{r}{100}\right)^{-n}\).

9. 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.

10. The price of a machine decreases uniformly every year. If the price of the machine in 2019 and 2020 was ₹25,000 and ₹19,500 respectively, what is the annual percentage decrease in its price?

11. If a machine depreciates by \(r\%\) annually, its value after \(n\) years becomes \(p\) rupees. What was the price of the machine \(n\) years ago?