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
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, 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.
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.
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.
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.8000 for 3years at 10% per annum compounded annually.
Find the amount and the compound interest on the following :
Rs.12000 for 1`(1)/(2)` years at 5% per annum compounded annually.
Find the amount and compounded interest on Rs.15000 in 2`(1)/(2)` years at 10% p.a. compounded annually.
