Compound Interest (Without Using Formula) | ICSE Class 9 Maths |Online Classes |Session 2- Swiflearn

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This is Session 2 of the Chapter: Compound Interest [Without Using Formula] from ICSE Class 9 Maths. In this Session of Compound Interest [Without Using Formula], Harneet Ma'am will introduce you to the following topics from the Chapter: Compound Interest [Without Using Formula] from ICSE Class 9 Maths.

Define Principal, Interest and Amount.
Finding Amount.
Define Simple Interest.
Define Compound Interest.
Compound Interest - Repeated Simple Interest computation with a growing principal.

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Compound Interest [Using Formula]
Compound Interest when compounded semi-annually:
 What is the compound interest on rupees “P” at “r%” semi-annually for 3
1
2
years?
a. The time period is divided equally into time periods of 1
2
year each.
b. The rest of the procedure remains the same.
c. {Interest at the end of (n + 1)th period =
𝑃𝑛×𝑟×
1
2
100
Compound Interest with different rates in successive years:
a. Interest at the end of each time period will be calculated using the rates specific to that
time period.
b. The rest of the procedure remains the same.
General Formulae: Computing Amount and Compound Interest:
Amount (when interest is compounded
annually) at the end of N years 𝐴 = 𝑃(1 +
𝑅
100)
𝑁
Amount (when interest is compounded semiannually) at the end of N years 𝐴 = 𝑃(1 +
𝑅
100)
2𝑁
Amount in 3 years (when interest is
compounded annually with different rates of
interest)
𝐴 = 𝑃(1 +
𝑅1
100)
1
(1 +
𝑅2
100)
1
(1 +
𝑅3
100)
1
Compound Interest C.I. (for all the above
three cases)
C. I. = A –
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