English

Find the Amount and the Compound Interest on the Following : Rs.25000 for 2 Years at 6% per Annum Compounded Semi-annually. - Mathematics

Advertisements
Advertisements

Question

Find the amount and the compound interest on the following :
Rs.25000 for 2 years at 6% per annum compounded semi-annually.

Sum
Advertisements

Solution

Rs.25000 for 2 years at 6% per annum compounded semi-annually.
Here P = Rs.25000, t = 2 years, r = 6%
Since interest is compounded semi-annually, so
Amount
= `"P"(1 + "r"/200)^(2"t")`

= `25000(1 + 6/200)^4`

= `25000(103/100)^4`
= 28137.72
Hence, Amount = Rs.28137.72
Also, C.I.
= A - P
= Rs.28137.72 - Rs.25000
= Rs.3137.72.

shaalaa.com
Concept of Compound Interest - When the Interest is Compounded Half Yearly
  Is there an error in this question or solution?
Chapter 3: Compound Interest - Exercise 3.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest
Exercise 3.2 | Q 1.4

RELATED QUESTIONS

If the interest is compounded half-yearly, calculate the amount when principal is Rs. 7,400; the rate of interest is 5% per annum and the duration is one year.


A man borrowed Rs.16,000 for 3 years under the following terms:
20% simple interest for the first 2 years.
20% C.I. for the remaining one year on the amount due after 2 years, the interest being compounded half-yearly.
Find the total amount to be paid at the end of the three years.


What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum 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 half-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"`]


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 compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×