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Question

Calculate the amount and compound interest on
(a) Rs10,800 for 3 years at 1212% per annum compounded annually.
(b)Rs18,000 for 212 years at 10% per annum compounded annually.
(c)Rs62,500 for 112 years at 8% per annum compounded annually.
(d)Rs8,000 for 1 years at 9% per annum compounded annually.
(e)Rs10,000 for 1 years at 8% per annum compounded annually.

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Solution

(a)
Principal (p)=Rs10,800
Rate(R)=1212 %=252 % per annum
Time of years = 3 years
Amount (A)=P((1+R100)n
A=[10,800×(1+25200)3]
A=[10,800×(225200)3]=15,377.34375
A=Rs15,377.34(approximately)

C.I=Amount-Principle
C.I=Rs15.377.34Rs10,800
C.I=Rs4,577.34\

(b)
GivenPrincipal (P) = 18,000
Rate(R)=10% per annum
Time of years =212years

First, we calculate the amount for 2 years using the compound interest formula
after that calculate amount for 6 months using the simple interest formula.
Amount for 2 years,
Amount (A)=P((1+R100)n

A=[18,000×(1+110)2]

A=[18,000×(1110)2]

A=Rs21,780

Calculate the interest for 12 year.
By taking Rupees Rs 21,780 as principal, the S.I. for the next 12 year will be calculated. By taking Rupees Rs 21,780 as principal, the S.I. for the next year will be calculated.
S.I.=21,780×12×10100=Rs 1,089

Calculate the final amount and interest.
Interest for the first 2 years =(21,78018,000)=Rs 3,780
And the interest for the next 12 year = 1,089
Total C.I.=Rs(3,780+1,089)=4,869
Now, amount, A = Principal + Compound interest
Amount (A) = (18,000+4,869)
Amount =Rs 22,869

(c)
Calculate the amount
Given,
Rate (R) = 8% per annum or 4% per half year
Time of years =112 years
There will be \93\) half years in 112 years.
Amount (A)=P(1+R100)n
A=[62,500(1+4100)3]

A=[62,500(104100)2]=[62,500(2625)2]
A=70,304

Calculate the interest
C.I. = Amount - Principle
C.I.=Rs 70,304Rs 62,500
C.I.=Rs 7,804

(d)
Calculate the amount
Given,
Principal (P) =Rs 8,000
Rate (R) =9% par annum or 92% per half year
Time of years =1 year.
Three will be 2 half years in 1 year.
Amount (A)=P(1+R100)n
A=[8,000(1+9200)2]
A=[8,000(209100)2]
A=Rs 8,736.20

Calculate the interest
C.I. = Amount - Principal
C.I.=AP=Rs 8,73620Rs 8,00
C.I.=Rs 736.20

Calculate the amount
Given,
Principal (P) =Rs10,000
Rate (R) = 8% per annum or 4% per half year
Amount (A)=P(1+R100)n
A=[10,000(1+4100)2]
A=[10,000(1+125)2]=[10,000(2625)2]
A=Rs 10,816

Calculate the interest

C.I.=AP=10,81610,000
C.I.=Rs816

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