Practice the questions given in the worksheet on uniform rate of growth.
Applying the principle of compound interest, we can find the values, when subjected to uniform rate of growth by the formula Q = P(1 + \(\frac{r}{100}\))\(^{n}\).
1. The population of a town grows uniformly at the rate of 4% every year. In how many years will the population of the town grow from 1562500 to 1757600?
2. The present population of a small town is 10000. If the rate of increase in population in that town be 3% per year, find the population of the town after 2 years.
3. The population of a city increases by 10% every year. At present, the population of the city is 363000. What was the population of the city two years back?
4. Rate of increase in population of Virginia is 2% in a year. The present population is 80000000. What will be the population of the Virginia after 3 years?
5. The price of a machine of land appreciates by 20% every year. Find the least number of full years at the end of which the price of the machine will be doubled.
6. A quantity increases at a uniform annual rate. It becomes 726 from 600 in 2 years. Find the rate of growth of the quantity.
7. The population of a small city is 300000 and it grows at the rate of 4% per year. What will be the population of the city after 2 years?
8. At present, the sum of the number of students in all the high schools in a Florida is 3993. If the number of students increased in a year was 10% of that in the previous year; then find the sum of the number of students in all the high schools in Florida 3 years before.
9. A farmer’s output of wheat grows by 8% every year. In the year 2006 his output was 4374quintals. How much was his output in the year 2004 and what will be his output in the year 2008?
10. Before three years from today, Mr. John planned to reduce the expenditure for his office telephone bill by 5% in comparison to the previous year. Three years before, he had to spend $ 4,000 in the, year to pay the telephone bill. How much will Mr. John have to spend to pay the telephone bill in the present year?
Hint: Call charge of telephone bill remained at the same rate throughout
Answers for the worksheet on uniform rate of growth are given below.
Answers:
1. 3 years
2. 10609
3. 300000
4. 87418160
5. 4 years
6. 10%
7. 324480
8. 3000
9. 3750 quintals in the year 2004 and 5101.83 quintals in the year 2008
10. $ 3429.50
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