Principal = Rs 5,000

TIME = 1 1/2 years =\frac{3}{2}23​ years

RATE of interest = 16 %

As the rate of interest is compounded half yearly

Rate of interest =  %

Time =  \frac{3\times2}{2}23×2​  = 3 duration

Simple interest on the period of six months i.e ,when, n=1, P= Rs 5,000,R=8% is given by the FORMULA:  = \frac{{\text{Principal} }\times{\text{ Rate of interest} }\times {\text{Time}} }{100}100Principal× Rate of interest×Time​

=  \frac{5000\times8\times1}{100}= 50 \times 8 =Rs 4001005000×8×1​=50×8=Rs400

Amount after six months = Rs 5,000 + Rs 400 = Rs 5,400

New Principal =Rs 5,400

Rate = 8%, Time = 1 (between 6 months and 12 months)

Simple interest(6 Months to 12 Months) = \frac{5400 \times8 \times 1}{100} = 54 \times 8 = Rs4321005400×8×1​=54×8=Rs432

Amount after 12 months = 5400 + 432 =Rs 5,832

Simple interest (1 year to 3/2 years)  as rate = 8%, Time = 1 year

            =  

Amount after 3/2 years = 5,832 + 466.56 =    Rs 6,298.56

So, Compound Interest = Amount after 3/2 years - Principal

                                       = 6,298.56 - 5,000

                                        =Rs 1,298.56