Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
The population of a place increased to 54000 in 2003 at a rate of 5% per annum Find the population in 2001.
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.
At what rate percent will a sum of Rs 1000 amount to Rs 1102.50 in 2 years at compound interest?
The population of a city is 125000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of city after 3 years.
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.
Mohan purchased a house for Rs 30000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 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.
Find the compound interest if the amount of a certain principal after two years is ₹ 4036.80 at the rate of 16 p.c.p.a.
The population of a suburb is 16000. Find the rate of increase in the population if the population after two years is 17640.
Find the amount and the compound interest on ₹ 10,000 in 3 years, if the rates of interest for the successive years are 10%, 15%, and 20% respectively.
