Advertisements
Advertisements
Question
The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
Advertisements
Solution
Here,
P = Initial population = 28, 000
R = Rate of growth of population = 5 % per annum
n = Number of years = 2
∴ Population after two years = P \[\left( 1 + \frac{R}{100} \right)^n \]
\[ = 28, 000 \left( 1 + \frac{5}{100} \right)^2 \]
\[ = 28, 000 \left( 1 . 05 \right)^2 \]
= 30, 870
Hence, the population after two years will be 30, 870.
APPEARS IN
RELATED QUESTIONS
The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.
At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?
Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:
- the sum due to Ramesh at the end of the first year.
- the interest he earns for the second year.
- the total amount due to him at the end of the third year.
On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.
A man borrowed Rs. 20,000 for 2 years at 8% per year compound interest. Calculate :
(i) the interest of the first year.
(ii) the interest of the second year.
(iii) the final amount at the end of the second year.
(iv) the compound interest of two years.
The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.
The compound interest payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate percent.
A principal becomes ₹ 2028 in 2 years at 4% p.a compound interest. Find the principal
Find the C.I. on ₹ 15000 for 3 years if the rates of interest are 15%, 20% and 25% for the I, II and III years respectively
The time taken for ₹ 4400 to become ₹ 4851 at 10%, compounded half yearly is _______
