English

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.

Advertisements
Advertisements

Question

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.

Sum
Advertisements

Solution

Given: P = Rs. 7,400; r = 5% p.a. and n = 1 year

Since the interest is compounded half-yearly,

Then, A = `"P"( 1 + r/[ 2 xx 100] )^(n xx 2)` 

= `7,400( 1 + 5/[ 2 xx 100] )^(1 xx 2)`

= `7,400( 41/40)^2`

= Rs. 7,774.63

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 (Stage 2) [Applications] - Exercise 3 (C) [Page 50]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest (Stage 2) [Applications]
Exercise 3 (C) | Q 1 | Page 50

RELATED QUESTIONS

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?


In what time will Rs. 1,500 yield Rs. 496.50 as compound interest at 20% per year compounded half-yearly ?


Find the difference between compound interest and simple interest on Rs. 12,000 and in `1 1/2` years at 10% compounded half-yearly.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×