Karan deposits a sum of Rs. 1,00,000 in the bank at rate of 6% p. a. Simple interest. After 3 months , he withdraw Rs. 50,000 and lends it to his friend at an interest rate of 10% p. a. Compounded half yearly. Calculate
A) The simple interest earned by Karan in the whole year?
B) The interest paid by his friend after one year ?
C) The total money earned by Karan?

Dear Student, 
P for 3 monthsP1=100000T1=312=14yearR=6%P for next 9 monthsP2=50000T2=912=34YearR=6%So , A SI in 1 year=P1×R×T1100+ P2×R×T2100                    =100000×6×14×100+50000×6×34×100                     =1500+2250                     =3750 Rs BA=P1+R2×1002×TWhere P=50000 , R=10 T=1A=500001+102002  =500002120×2120   =55125ThereforeCI paid by his friend=50000-55125          =5125 RsC Total money earned by karan =5125+3750                                                                =8875 Rs
Regards

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