What would be the compound interest on Rs 15,750 at 20% per annum, in two years, if the interest is compounded half yearly?

Rs.7,309.575

Principal = Rs 15750

Rate = 20% p.a

Time = 2 years

Interest is Compounded half yearly , so Rate become half and time become double

so  Rate = \(\frac{20}{2}\)

            =  10% 

time =  2 × 2 = 4 years

10%               10    :    11 

                      10    :    11 

                      10    :    11 

                      10    :    11 

                  10000  :   14641 

Compound Interest =  Amount - Principal

                              = 14641-10000

                              = Rs 4641

ATQ

10000=   15750

1=\(\frac{15750}{10000}\)

4641= \(\frac{15750}{10000}\)  ×   4641

       =  Rs 7309.575