$\frac{200}{7}\%$ should be the right answer.
Let the original buying price be X Rupees, and let the original selling price be $(X \times Y)$ Rupees.
Then the original profit will be $(Y - 1).100\%$.
Now if we drop buying price by $10\%$ it will become $(0.9 X)$ Rupees and if we increase selling price by $10\%$ it will become $(1.1 .(X.Y))$, & the modified profit will be $\frac{(1.1 Y - 0.9)}{0.9}\times 100\%$.
It is given that
$$2.(Y - 1) = \frac{1.1 Y - 0.9}{0.9}$$
On solving this we get $Y = \frac{9}{7}$,
so the original profit percentage $= \left(\frac{9}{7} - 1\right).100 = \frac{200}{7}\%$