Advertisements
Advertisements
प्रश्न
In what time will Rs. 1,500 yield Rs. 496.50 as compound interest at 20% per year compounded half-yearly ?
उत्तर
Given: P=Rs. 1,500; C.I.= Rs. 496.50 and r = 20%
Since interest is compounded semi-annually
Then, C.I. = `"P"[( 1 + r/[2 xx 100])^(n xx 2) - 1]`
⇒ 496.50 = 1,500`[( 1 + 20/[2 xx 100])^(n xx 2) - 1]`
⇒ `[496.50]/[1500] = (11/10)^(2n) - 1`
⇒ `331/1000 + 1 = (11/10)^(2n)`
⇒ `1331/1000 = (11/10)^(2n)`
⇒ `(11/10)^3 = (11/10)^(2n)`
On comparing, we get,
2n = 3 ⇒ n = `1 1/2` years
APPEARS IN
संबंधित प्रश्न
At what rate of interest per annum will a sum of Rs. 62,500 earn a compound interest of Rs. 5,100 in one year? The interest is to be compounded half yearly.
Calculate the C.I. on Rs. 3,500 at 6% per annum for 3 years, the interest being compounded half-yearly.
Do not use mathematical tables. Use the necessary information from the following:
(1.06)3 =1.191016; (1.03)3 = 1.092727
(1.06)6 =1.418519; (1.03)6 = 1.194052
Find the difference between compound interest and simple interest on Rs.12,000 and in `1 1/2` years at 10% compounded yearly.
Find the amount and the compound interest payable annually on the following :
Rs.24000 for 1`(1)/(2)` years at 7`(1)/(2)`% per annum.
[Hint : 1 year 146 days = `1(146)/(365)"year" = 1(2)/(5)"year"`]
Calculate the amount and compound interest to the nearest rupee on Rs 42000 for 2 years at 8% per annum, interest being payable half-yearly.
A man lends Rs 15000 at 10.5% per annum C.I., interest reckoned yearly, and another man lends the same sum at 10% per annum, interest being reckoned half-yearly. Who is the gainer at the end of one year and by how much?
Simple interest on a sum of money for 2 years at 4% is Rs 450. Find the compound interest at the same rate for 1 year if the interest is reckoned half-yearly.
Find the amount and the compound interest on the following :
Rs.15000 for 2years at 8% per annum compounded semi-annually.
Find the amount and the compound interest on the following :
Rs.25000 for 2 years at 6% per annum compounded semi-annually.
Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.
