Advertisements
Advertisements
प्रश्न
At what rate percent will a sum of Rs 1000 amount to Rs 1102.50 in 2 years at compound interest?
Advertisements
उत्तर
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[1102 . 50 = 1000 \left( 1 + \frac{R}{100} \right)^2 \]
\[\frac{1102 . 50}{1000} = \left( 1 + 0 . 01R \right)^2 \]
\[ \left( 1 + 0 . 01R \right)^2 = 1 . 1025\]
\[ \left( 1 + 0 . 01R \right)^2 = \left( 1 . 05 \right)^2 \]
On comparing both the sides, we get:
1 + 0.01R = 1.05
0.01R = 0.05
R = 5
Thus, the required rate percent is 5.
संबंधित प्रश्न
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.
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.
Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of 4%, 5% and 3% respectively, find the present population.
The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.
The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?
The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997
The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997.
.
The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9680, for how much was it purchased?
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?
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.
