## RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.5

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.5

**Other Exercises**

- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.1
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.2
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.3
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.4
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.5

**Question 1.**

**Mr. Cherian purchased a boat for Rs 16,000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.**

**Solution:**

Cost of boat = Rs 16,000

Rate of depreciating = 5% p.a.

Period = 2 years

Value of boat after 2 years

**Question 2.**

**The value of a machine depreciates at the rate of 10% per annum. What will be its value 2 years hence, if the present value is Rs 1,0,000 ? Also, find the total depreciation during this period.**

**Solution:**

Present value of machine = Rs 1,00,000

Rate of depreciation = 10% p.a.

Period (n) = 2 years

Value of machine after 2 years

**Question 3.**

**Pritam bought a plot of land for Rs 6,40,000. Its value is increasing by 5% of its previous value after every six months. What will be the value of the plot after 2 years ?**

**Solution:**

Present value of plot = Rs 6,40,000

Increase = 5% per half year

Period (n) = 2 years or 4 half years

**Question 4.**

**Mohan purchased a house for Rs 30,000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 3 years.**

**Solution:**

Present value of the house (P) = Rs 30,000

Rate of depreciation = 25% p.a.

Period (n) = 3 years

Value of house after 3 years

**Question 5.**

**The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43,740, find its purchased price.**

**Solution:**

Let the purchase price of machine = Rs P

Rate of depreciation = 10% p.a.

Period (n) = 3 years.

and present value = Rs 43,740

**Question 6.**

**The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9,680, for how much was it purchased ?**

**Solution:**

Let the refrigerator was purchased for = Rs P

Rate of depreciation (R) = 12% p.a.

Period (n) = 2 years

and present value (A) = Rs 9,680

**Question 7.**

**The cost of a TV set was quoted Rs 17,000 at the beginning of 1999. In the beginning of2000, the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What is the cost of the TV set in 2001 ?**

**Solution:**

List price of TV set in 1999 = Rs 17,000

Rate of hike in 2000 = 5%

Rate of decrease in 2001 = 4%

Price of TV set in 2001

**Question 8.**

**Ashish started the business with an initial investment of Rs 5,00,000. In the first year, he incurred a loss of 4%. However, during the second year he earned a profit of 5% which in third year, rose to 10%. Calculate the net profit for the entire period of 3 years.**

**Solution:**

Initial investment = Rs 5,00,000

In the first year, rate of loss = 4%

In the second year, rate of gain = 5%

and in the third year, rate of gain = 10%

Investment after 3 years

Hope given RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.5 are helpful to complete your math homework.

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