Question

Karan deposits a sum of rupees 1,00,000 in a bank in a saving account at the rate of 6 per cent per annum SI. After three months he withdraws rupees 50,000 and lends it to his friend at an interest rate of 10 percent per annum compounded half yearly. calculate
a. SI earned by Karan in the whole year
b. Interest paid by his friend after one year
c. total money earned by Karan​

Answer 1

Step-by-step explanation:

Dear Student,  

P for 3 months(P1)=100000T1=312=14yearR=6%P for next 9 months(P2)=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 (B)A=P(1+R2×100)2×TWhere P=50000 , R=10 T=1A=50000(1+10200)2  =50000(2120×2120)   =55125ThereforeCI paid by his friend=50000−55125          =5125 Rs(C) Total money earned by karan =5125+3750                                                                =8875 Rs