A lady professes to sell sugar at 20% profit on the cost price and using a weight which is 30% less than the actual measure. What is her gain percentage?

A

$$67\frac{3}{7}$$ percent

B

$$71\frac{3}{7}$$ percent

C

$$81\frac{2}{7}$$ percent

D

$$57\frac{1}{7}$$ percent