Let sum be = Rs. $$100x$$ Rate of interest = 19% under compound interest half yearly Amount after 1 year = $$P (1 + frac{R}{2 imes 100})^{2 imes T}$$ = $$100x (1 + frac{19}{200})^{2 imes 1}$$ = $$100x (frac{219}{200})^2 = frac{219 imes 219 imes x}{400}$$ = Rs. $$119.9 x$$ => Compound Interest = Rs. $$(119.9 x - 100x)$$ = Rs. $$19.9 x$$ $$ herefore$$ Effective rate of interest = $$frac{19.9 x}{100x} imes 100$$ = $$19.9 \%$$ => Ans - (B)