Advertisements
Advertisements
प्रश्न
Calculate the rate percent when Rs 28000 amount to Rs 30870 in 2 years at compounded annually.
Advertisements
उत्तर
Here P = Rs.28000, A = 30870, t = 2 years
Now, `"P"(1 + "r"/100)^"t"` = A
⇒ `28000(1 + "r"/100)^2`
= 30870
⇒ `(1 + "r"/100)^2`
= `(30870)/(28000)`
= `(441)/(400)`
= `(21/20)^2`
⇒ `1 + "r"/(100) = (21)/(20)`
⇒ `"r"/(100) = (21)/(20) - 1`
= `(1)/(20)`
⇒ R = `(100)/(20)`
= 5
Hence rate of interest is 5%.
APPEARS IN
संबंधित प्रश्न
The cost of a machine is supposed to depreciate each year at 12% of its value at the beginning of the year. If the machine is valued at Rs. 44,000 at the beginning of 2008, find its value :
(i) at the end of 2009.
(ii) at the beginning of 2007.
The population of a town decreased by 12% during 1998 and then increased by 8% during 1999. Find the population of the town, at the beginning of 1998, if at the end of 1999 its population was 2,85,120.
A sum of money, invested at compound interest, amounts to Rs. 16,500 in 1 year and to Rs. 19,965 in 3 years. Find the rate per cent and the original sum of money invested.
Mr. Sharma borrowed a certain sum of money at 10% per annum compounded annually. If by paying Rs.19,360 at the end of the second year and Rs. 31,944 at the end of the third year he clears the debt; find the sum borrowed by him.
The difference between compound interest for a year payable half-yearly and simple interest on a certain sum of money lent out at 10% for a year is Rs. 15. Find the sum of money lent out.
Find the amount and compound interest on Rs.7500 for 1`(1)/(2)` years at 8%, payable semi-annually.
Find the amount and the compound interest on the following:
Rs.8000 for 3years at 10% per annum compounded annually.
Find the amount on Rs 36000 in 2 years 15% p.a. compounded annually.
In what time will Rs 15625 amount to Rs 17576 at 4% p.a. compound interest?
In how many years will Rs 2000 amount to Rs 2662 at 10% p.a. compound interest?
