Advertisements
Advertisements
प्रश्न
In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?
Advertisements
उत्तर
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[1852 . 20 = 1600 \left( 1 + \frac{5}{100} \right)^n \]
\[\frac{1852 . 20}{1600} = \left( 1 . 05 \right)^n \]
\[ \left( 1 . 05 \right)^n = 1 . 157625\]
\[ \left( 1 . 05 \right)^n = \left( 1 . 05 \right)^3 \]
On comparing both the sides, we get:
n = 3
Thus, the required time is three years .
संबंधित प्रश्न
The difference between the compound interest and simple interest on a certain sum at 15% per annum for 3 years is Rs 283.50. Find the sum.
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.
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.
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
Sameerrao has taken a loan of ₹ 12500 at a rate of 12 p.c.p.a. for 3 years. If the interest is compounded annually, then how many rupees should he pay to clear his loan?
A principal amounts to ₹ 13,924 in 2 years by compound interest at 18 p.c.p.a. Find the principal.
The cost of a sewing machine is Rs 7,000. Its value depreciates at 8% p.a. Then the value of the machine after 2 years is Rs 5,924.80.
The value of a car, bought for Rs 4,40,000 depreciates each year by 10% of its value at the beginning of that year. So its value becomes Rs 3,08,000 after three years.
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.
