Advertisements
Advertisements
प्रश्न
Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the second year.
Advertisements
उत्तर
Let X % be the rate of interest.
P = Rs. 6,000, n = 2 years, A = Rs.6,720
For the first year
A = P`( 1 + r/100)^n`
⇒ 6,720 = 6,000`( 1 + "X"/100 )^1`
⇒ 6,720 - 6,000 = 60X
⇒ X = 12
The rate of interest is X % = 12 %.
The amount at the end of the second year.
A = P`( 1 + r/100)^n`
⇒ A = 6,000`( 1 + 12/100 )^2`
⇒ A = 6,000`( 112/100 )^2`
⇒ A = 7,526.40
The amount at the end of the second year = Rs. 7,526.40
APPEARS IN
संबंधित प्रश्न
In what period of time will Rs. 12,000 yield Rs. 3972 as compound interest at 10% per annum, if compounded on a yearly basis?
Calculate the amount and the compound interest for the following:
Rs.10,000 at 8°/o p.a. in `2 1/4` years
Calculate the amount and the compound interest for the following:
Rs. 76, 000 at 10 °/o p.a. in `2 1/2` years
Calculate the amount and the compound interest for the following:
Rs.16, 000 at 15 °/o p.a. in `2 2/3` years
The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine as a single per cent during the three years.
The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.
Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.
The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.
Find the difference between the compound interest and simple interest on Rs 20,000 at 12% per annum for 3 years, the compound interest being payable annually.
The value of a mobile depreciated by 5% per year during the first two years and 10% per year during the third year. Express the total depreciation of the value of the mobile in percent during the three years.
