Advertisements
Advertisements
Question
A shepherd has 200 sheep with him. Find the number of sheep with him after 3 years if the increase in the number of sheep is 8% every year.
Advertisements
Solution
Here, P = Number of sheep initially = 200
A = Number of sheep after 3 years
R = Rate of increase in the number of sheep per year = 8%
N = 3 years
A = P `(1 + "R"/100)^"N"`
= 200 `(1 + 8/100)^3`
= `200((100 + 8)/100)^3`
= `200(108/100)^3`
= `200((27 xx 4)/(25 xx 4))^3`
= `200(27/25)^3`
= `200 xx 27/25 xx 27/25 xx 27/25`
= `8 xx 27 xx 27/25 xx 27/25`
= `0.32/25 xx 27 xx 27 xx 27`
= `0.0128 xx 27 xx 27 xx 27`
= 251.9424
= 252
∴ The number of sheep with the shepherd after 3 years would be 252 (approx).
APPEARS IN
RELATED QUESTIONS
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 3000, Rate = 5%, Time = 2 years
In a factory the production of scooters rose to 46305 from 40000 in 3 years. Find the annual rate of growth of the production of scooters.
Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.
Ashish started the business with an initial investment of Rs 500000. 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.
On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years.
A loan of ₹ 15000 was taken on compound interest. If the rate of compound interest is 12 p.c.p.a. find the amount to settle the loan after 3 years.
The population of a suburb is 16000. Find the rate of increase in the population if the population after two years is 17640.
Gautam takes a loan of ₹ 16,000 for 2 years at 15% p.a. compound interest. He repays ₹ 9,000 at the end of the first year. How much must he pay at the end of the second year to clear the debt?
The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.
The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
