Advertisements
Advertisements
Question
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
Solution
\[CI = P \left( 1 + \frac{R}{100} \right)^n - P\]
\[ \Rightarrow 378 = 1, 800 \left( 1 + \frac{10}{100} \right)^n - 1, 800\]
\[1, 800 \left( 1 + \frac{10}{100} \right)^n = 2, 178\]
\[ \left( 1 + \frac{10}{100} \right)^n = \frac{2, 178}{1, 800}\]
\[ \left( 1 . 1 \right)^n = 1 . 21\]
\[ \left( 1 . 1 \right)^n = \left( 1 . 1 \right)^2 \]
On comparing both the sides, we get:
n = 2
Thus, the required time is two years .
RELATED QUESTIONS
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 10000, Rate 20% per annum compounded half-yearly, Time = 2 years
In a factory the production of scooters rose to 46305 from 40000 in 3 years. Find the annual rate of growth of the production of scooters.
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 machine depreciates at the rate of 10% per annum. What will be its value 2 years hence, if the present value is Rs 100000? Also, find the total depreciation during this period.
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.
To start a business, Shalaka has taken a loan of ₹8000 at a rate of 10 `1/2` p.c.p.a. After two years, how much compound interest will she have to pay?
The cost price of a machine is 2,50,000. If the rate of depreciation is 10% per year, find the depreciation in price of the machine after two years.
A loan of ₹ 15000 was taken on compound interest. If the rate of compound interest is 12 p.c.p.a. find the amount to settle the loan after 3 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%.
