The effective annual rate of interest corresponding to a nominal rate of 19% per annum payable half­yearly is:

Let sum be = Rs. $$100x$$

Rate of interest = 19% under compound interest half yearly

Amount after 1 year = $$P (1 + \frac{R}{2 \times 100})^{2 \times T}$$

= $$100x (1 + \frac{19}{200})^{2 \times 1}$$

= $$100x (\frac{219}{200})^2 = \frac{219 \times 219 \times x}{400}$$

= Rs. $$119.9 x$$

=> Compound Interest = Rs. $$(119.9 x - 100x)$$ = Rs. $$19.9 x$$

$$\therefore$$ Effective rate of interest = $$\frac{19.9 x}{100x} \times 100$$

= $$19.9 \%$$

=> Ans - (B)