Govind borrows Rs. 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?

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Solution

P=18000rs
R=10%
T=1 year
S.i. =P RT/100
18000101/100=1800rs
Compounded halfyearly
P =18000 rs
T=2 half years
R=5%
A=p[1+r/100]^t
=18000[1+5/100]^2
=18000[21/20]^2
=180002121/400
=45*441=19845rs
C.i.=19845-18000=1845rs
Money he gained =1845-1800=45rs

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Govind borrows Rs. 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?

P=18000rs R=10% T=1 year S.i. =P *R*T/100 18000*10*1/100=1800rs Compounded halfyearly P =18000 rs T=2 half years R=5% A=p[1+r/100]^t =18000[1+5/100]^2 =18000[21/20]^2 =18000*21*21/400 =45*441=19845rs C.i.=19845-18000=1845rs Money he gained =1845-1800=45rs

P=18000rs
R=10%
T=1 year
S.i. =P RT/100
18000101/100=1800rs
Compounded halfyearly
P =18000 rs
T=2 half years
R=5%
A=p[1+r/100]^t
=18000[1+5/100]^2
=18000[21/20]^2
=180002121/400
=45*441=19845rs
C.i.=19845-18000=1845rs
Money he gained =1845-1800=45rs