Advertisements
Advertisements
Question
In what time will Rs 15625 amount to Rs 17576 at 4% p.a. compound interest?
Advertisements
Solution
Here P = Rs.15625, A = 17576, r = 4%
Now, `"P"(1 + "r"/100)^"t"` = A
⇒ `15625(1 + 4/100)^"t"`
= 17576
⇒ `(26/25)^"t"`
= `(17576)/(15625)`
= `(26/25)^3`
By comparing powers, t = 3
Hence time is 3 years.
APPEARS IN
RELATED QUESTIONS
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 value of an article decreases for two years at the rate of 10% per year and then in the third year it increases by 10%. Find the original value of the article, if its value at the end of 3 years is Rs. 40,095.
According to a census taken towards the end of the year 2009, the population of a rural town was found to be 64,000. The census authority also found that the population of this particular town had a growth of 5% per annum. In how many years after 2009 did the population of this town reach 74,088 ?
A sum of money lent out at C.I. at a certain rate per annum becomes three times of itself in 10 years. Find in how many years will the money become twenty-seven times of itself at the same rate of interest p.a.
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.
Find the amount and the compound interest payable annually on:
Rs.16000 for 2 years at 15% and 12% for the successive years.
Find the amount and compound interest on Rs.7500 for 1`(1)/(2)` years at 8%, payable semi-annually.
Sunil borrows Rs.50,000 at 10% S.I. for 1`(1)/(2)` years. He immediately invests the entire amount for 1`(1)/(2)` years at 10% compounded annually. What is his gain at the end of the stipulated time, when he repays his loan?
Find the amount and the compound interest on the following :
Rs.12000 for 1`(1)/(2)` years at 5% per annum compounded annually.
Calculate the rate percent when Rs 28000 amount to Rs 30870 in 2 years at compounded annually.
