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.
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.
Find the compound interest on Rs 160000 for one year at the rate of 20% per annum, if the interest is compounded quarterly.
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 12800, Rate = \[7\frac{1}{2} %\], Time = 3 years
The compound interest on Rs 1800 at 10% per annum for a certain period of time is Rs 378. Find the time in years.
The population of a certain city was 72000 on the last day of the year 1998. During next year it increased by 7% but due to an epidemic it decreased by 10% in the following year. What was its population at the end of the year 2000?
To start a business, Shalaka has taken a loan of ₹8000 at a rate of 10 `1/2` p.c.p.a. After two years, how much compound interest will she have to pay?
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.
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?
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.
In the year 2001, the number of malaria patients admitted in the hospitals of a state was 4,375. Every year this number decreases by 8%. Find the number of patients in 2003.
