1What was the population of Nepal in 1968 B.S.?
2How much did the population reach in the initial report of the 2078 B.S. census?
3Using the census figures, discuss in which years the population increased or decreased, and by how much.
4Compared with the population of 2068 B.S., by what percentage did the population of 2078 B.S. increase?
5Compared with the population of 1977 B.S., by what percentage did the population of 1987 B.S. decrease?
6By how much did the population increase or decrease at each census compared with the previous one?
7What are some other examples of this kind of increase in daily life? Make a list.
81(a) If the present population of a place is P, the population after T years is \( P_T \) and the yearly growth rate is R%, write the formula to find \( P_T \).
91(b) If the number of tigers in Chitwan National Park in 2079 B.S. is x and their annual growth rate is R%, what will the number of tigers be after N years?
101(c) The growth rates of foreign employment from Nepal in the first, second and third years are \( R_1\% \), \( R_2\% \) and \( R_3\% \). Write the formula for the number of employees after 3 years.
112(a) If the death rate of a country is less than its birth rate, does the population increase or decrease?
122(b) One year ago a 25 kg sack of rice cost Rs. 1,500. If the price has increased by 10% per year, how much does the sack cost now?
133(a) According to the 2021 census, the population of a city was 5,18,452. If the growth rate is 4.5% per year, what will the population be after 3 years?
143(b) A landlord agreed with a businessman to increase the rent by 5% per year. If the rent of a shutter is Rs. 10,000 now, what will it be after 3 years?
153(c) Bacteria in curd grow at 10% per hour. If there are \( 4 \times 10^{11} \) bacteria at 6 a.m., how many will there be after 2 hours?
164(a) The population of a rural municipality 2 years ago was 28,500. If the growth rate is 2% per year, by how much has the population increased in 2 years?
174(b) The monthly fee of grade 10 in a school 3 years ago was Rs. 6,500. If the fee rises by 10% every year, by how much has it increased in 3 years?
184(c) A piece of land costs Rs. 6,00,000 now. If its price rises by 10% every year, by how much will the price increase in 2 years?
195(a) A university has 21,632 students now. Two years ago it had 20,000. What was the yearly rate of increase?
205(b) The population of a rural municipality was 40,000 at the end of 2018 A.D. and 44,100 at the end of 2020 A.D. Find the yearly growth rate.
215(c) Three years ago oil cost Rs. 125 per litre. Now it costs Rs. 216 per litre. What is the inflation rate?
226(a) The population of a village is 13,310 and its growth rate is 10% per year. How many years ago was the population 10,000?
236(b) At the beginning of Baisakh a papaya plant was 4 metres tall. If it grows at 4% per month, in how many months will it be 4.3264 metres tall?
247(a) The price of a plot of land is Rs. 15,97,200 per aana. If the price rises by 10% per year, what was its price per ropani 3 years ago? (1 ropani = 16 aana)
257(b) The price of land is Rs. 2,66,200 per aana. If the price rises by 10% per year, what was the price per ropani 3 years ago?
268(a) A patient's urine tested at 6 a.m. had \( 1 \times 10^5 \) bacteria. Tests at 7, 8 and 9 a.m. showed hourly increases of 3%, 4% and 5%. Find the number of bacteria at 9 a.m.
278(b) Three years ago the population of a city was 1,50,000. In the next 3 years it grew by 2%, 4% and 5%. Find the present population.
289(a) An insurance company set up 3 years ago trained 1000 agents. From the start it followed the policy that every group of 5 agents adds 1 more agent each year. How many agents does it have now?
299(b) A financial institution started at the beginning of 2078 with 200 marketers. Every group of 5 marketers adds 1 new marketer each year. How many marketers will there be at the end of 2079?
3010. The population of a rural municipality grows by 10% every year. At the end of 2 years it reached 30,000, including 5,800 people who migrated there at the end. Find the initial population.
3111. After the American dollar rose steadily at 5% per year for two years, $1 = Rs. 120. Two years ago, how many Nepali rupees were equal to $1?
3212. Two years ago the population of a village was 31,250 and it grows by 6% per year. One year ago, 625 people migrated to other places. Find the present population.
3313. Three years ago a district had a population of 3,75,000. At the end of 2 years, 1,480 people migrated in and 2,750 died in a natural disaster. If the growth rate is 2% per year, find the present population.
3414. At the beginning of 2075 B.S. the population of a metropolitan city was 5,00,000, and at the end of 2077 B.S. it was 6,65,500. (a) What was the growth rate? (b) If it keeps growing in the same way, what will the population be at the end of 2079?
35A town of 20,000 grows by 5% a year. Sita says that after 2 years it will be 22,000. Is she right? Explain.
36Why is the population added in the second year larger than in the first year, even though the rate stays the same?