Unit-4 (Population Growth and Depreciation)-X

Population Growth

(Exercise with Answers)

1.    The population of a municipality was 1,85,220 before 3 years. If the rate of increase is 5%, find the present population of that municipality. (2144415)

      2.    At the end of 2011 AD, the population of Nepal was 2,64,94,504 and rate of growth  
           was1.35%. What was the population after 2 years? (27214685)

3.    By the policy of prevention of eagles, it was found that the growth of eagle is 10% per annum. If the estimated population of eagles now is 5,000, find the population of eagles after 3 years. (6655)

4.    The population of householders in Kaski in 2068 was 1,25,673. If the rate of growth is 5% per year, what was the house holders’ population in 2072? (152756)

5.    The population of a village council before 2 years was 28,500. If the rate of growth is 2 % per year, estimate the increased population in 2 years. (1151)

6.    According to census 2068, the population of Pokhara was about 2,64,991 and growth rate was 10%. Estimate the growth of population of Pokhara at the end of 2072 B.S. (122982)

7.    The average rate of growth of a plant is 2% per month. It is measured that the plant is 4m tall in January 1st. Estimate the height of that plant at the end of April. (4.33)

8.    The admission fee of a level was Rs. 6,500 before 4 years. If the policy is to increase fee by 10% every year, find the increased fee in 4 years. (Rs. 3016.65)

9.    The present population of a city is 45,000 and rate of growth is 4%. Find the population of that city before 3 years. (4000)

10. The rate of increase of bacteria of curd is 40% per hour. If the number of bacteria at 7 AM. is 10.12 × 1011, find the number of bacteria before 5 hours. (188 x10ⁿ)

11. The price increase of a land is assumed as 10% per year. If the present value of that land is Rs 6, 00,000, find its value before 2 years. (Rs. 495867.80)

12. The population of a town at the end of 2013 was 40,000 and in 2 years it was increased by 4,100. Find the rate of growth. (5%)

13. The population of a village council in 2012 A.D and 2014 A.D was 62500 and 67600 respectively. Find the rate of growth of population of that village council. (4%)

14. The present number of students of a university is 21632. Find how many years before the number of students of the university was 20,000 if the growth rate is 4%. (2 years)

15. In how many years the population of a town becomes 87880 from 40,000 if the rate of change is 30% per year? (3 years)

16. Three years ago, the population of a city was 150,000. If the annual growth rates of population in the last three years were 2%, 4% and 5% respectively, find the population of the city after 3 years? (167,076)

17. The population of a village increases every year by 5%. At the end of two years the population of the village was 10,000. If 1025 people migrated to another place, find the population of the village before 2 years. (10000)

18. Two years ago the population of a town was 54,000 with 5% growth rate. If 8,046 people migrated to town and 5089 migrated from that town to another places at present, find the present population of that town. (62492)

19. Three year ago, the population of a town was 2,00000. The rate of growth in the first two years are 2% and 2.5% respectively and decrease in the third year by 1% due to natural disaster, find the increased population in 3 years? (7009)

Depreciation

(Exercise with Answers)

1.    The original value a electric heater is Rs. 3,000. If its value is depreciated by 10% p.a., find its value after 3 years. (Rs 2187)

2.    Enjal pays Rs. 16,00,000 for his car. If its value depreciates by 10% per year, find its value after 4 years. (Rs 1049760)

3.    A company bought an extra power supply at Rs. 3,20,000 before 3 years. Due to regular supply of electricity it is sold at the rate of 15% compound depreciation per year, find its present Value (Rs 196520)

4.    The number of virus count in a sample is decreasing with 10% per hour after use of medicine. If at 11.00 am the number of virus in sample is 2.3 x 207, what will be its number at 1:00 pm of that day? Find it. (2.07 x 10⁷)

5.    A farmer sold a tractor for Rs. 1,60,000 after using 2 years. If he purchased it for Rs. 2,50,000., what is its deprecation rate? Find it. (20%)

6.    Photocopy machine was bought for Rs. 64,000 and sold it for Rs. 27,000 after 3 years. Find the rate of compound depreciation. (25%)

7.    The present value of an apartment flat is Rs. 20,48,000. If the rate of compound deprecation is 15% per year, after how many years the value of this apartment flat will be Rs. 12,57,728? Find it. (3yrs)

8.    A rice mill was bought at Rs. 4,00,000. If the rate of deprecation is 30% per year, and sold at Rs.1,96,000, find how many years ago was it bought? (2yrs)

9.    A laptop depreciates each year by 5% of its beginning value. If its present value is Rs 95,000, find Its value before two years. (Rs 1,00,000)

10. Kopila purchased a vehicle for Rs. 2,40,000. By using this she earned Rs. 48,600 in 2 years and sold it at the rate of compound deprecation of 8% per year. Find her gain or loss. (Gain Rs 11736)

11. Amit bought a motorcycle for Rs. 72,900. If the rate of compound deprecation is 10% each year, find the price of that motorcycle. i) before 2 years ii) after 2 years. (Rs.90,000, Rs.59049)

12. After the rate of deprecation 4% and 5% in two years, a machine was sold for Rs. 24,168. Find its original value before 2 years. (Rs26500)

13. Anju received Rs. 2430 by selling shares of a financial company with 10% per year deprecation after 2 years. How many shares of Rs 100 were sold before 2 years? Find it. (30)

14. A finance company’s share price was depreciating at the rate of 10 % every year. If Rs. 710775 is the cost of the share at present, what was its cost 2 years ago? How many shares of each Rs 100 were there? (Rs 8,77,500, 8775)