Exercise 14.5
1. Ms. Cherian purchases a boat for Rs. 16000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.
Solution:
Given,
Price of boat = Rs. 16000
Depreciation rate = 5% per annum
So,
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 100000? Also, find the total depreciation during this period.
Solution:
= 100000 (0.90)2
= 81,000
Then, the value of the machine after two years will be Rs 81,000.
Depreciation = Rs 1000,000 – Rs 81,000
= Rs 19,000
3. Pritam bought a plot of land for Rs 640000. 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:
Given:
P: Rs 64,000
R = 5% for every sis months
= Thus the value of the plot after two years will be Rs 706,440.25.
4. Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of 4%, 5% and 3% respectively, find the present population.
Solution:
According to question,
Population of town 3 years ago was = 50000
Annual increasing in 3 years = 4% ,5%, 3% respectively
Let present population = X
So,
Then, Present population of town = 56238
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 43740, find its purchase price.
Solution:
Then, the purchase price of the machine was Rs 60,000.
6. The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9680, for how much was it purchased?
Solution:
7. The cost of a T.V. set was quoted Rs 17000 at the beginning of 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. set in 2001?
Solution:
Then, the cost of the TV in 2001 was Rs. 17,136.
8. The cost of a T.V. set was quoted Rs 17000 at the beginning of 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. set in 2001?
Solution:
