Advertisements
Advertisements
प्रश्न
The compound interest on Rs 1800 at 10% per annum for a certain period of time is Rs 378. Find the time in years.
Advertisements
उत्तर
\[CI = P \left( 1 + \frac{R}{100} \right)^n - P\]
\[ \Rightarrow 378 = 1, 800 \left( 1 + \frac{10}{100} \right)^n - 1, 800\]
\[1, 800 \left( 1 + \frac{10}{100} \right)^n = 2, 178\]
\[ \left( 1 + \frac{10}{100} \right)^n = \frac{2, 178}{1, 800}\]
\[ \left( 1 . 1 \right)^n = 1 . 21\]
\[ \left( 1 . 1 \right)^n = \left( 1 . 1 \right)^2 \]
On comparing both the sides, we get:
n = 2
Thus, the required time is two years .
APPEARS IN
संबंधित प्रश्न
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 3000, Rate = 5%, Time = 2 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?
Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.
The production of a mixi company in 1996 was 8000 mixies. Due to increase in demand it increases its production by 15% in the next two years and after two years its demand decreases by 5%. What will be its production after 3 years?
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.
.
Ms. Cherian purchased a boat for Rs 16000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.
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%.
The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.
