Given,

Principal (P) = Rs.8000

Rate of interest (R) = 10% p.a

Time (T) = 1(1/2) years = 3/2 years

To find C. I compounded half-yearly- Simple interest.

By the formula,

Simple interest (SI) = \(\frac{P\times T\times R}{100}\)

\(\frac{8000\times{\displaystyle\frac32}\times10}{100}\)

= Rs. 120000/100

= Rs. 1200

Again by formula,

CI compounded half yearly = \(p\left\{(1+\frac R{200})^{2T}-1\right\}\)

= Rs. 8000 \(\left\{(1+\frac{10}{200})^{2\frac32}-1\right\}\)

= Rs. 8000 {(1.05)^{3} - 1}

= Rs. 8000 (1.15-1)

= Rs. 8000 x 0.15

= Rs. 1261

Therefore, the difference between C.I. compounded half-yearly and simple interest = Rs.1261 - Rs.1200

Rs.61. Ans