(c) Rs 120000
Let the sum be Rs 100. Then,
S.I = Rs\(\frac{100\times2\times8}{100}\) = Rs 16
C.I = Rs 100\(\Big[\big(1+\frac{8}{100}\big)^2-1\Big]\)
= Rs 100\(\Big[\big(\frac{27}{25}\big)^2-1\Big]\) = Rs 100 x \(\Big[\frac{729-625}{625}\Big]\)
= Rs\(\big(\frac{100\times104}{625}\big)\) = Rs 16.64
\(\therefore\) Difference = Re 0.64 If the difference between C.I. and S.I. is Re 0.64, Sum = Rs 100
If the difference is Rs 768, sum =Rs \(\big(\frac{100}{0.64}\times768\big)\)
= Rs 120000.