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.
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 160000, Rate = 10 paise per rupee per annum compounded half-yearly, Time = 2 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 annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?
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?
6400 workers were employed to construct a river bridge in four years. At the end of the first year, 25% workers were retrenched. At the end of the second year, 25% of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by 25% at the end of the third year. How many workers were working during the fourth year?
Jitendra set up a factory by investing Rs 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.
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?
Find the amount and the compound interest on ₹ 4,000 in 2 years, if the rate of interest for the first year is 10% and for the second year is 15%.
