Let list price = Rs. $$100x$$ After 50% discount, selling price = $$frac{50}{100} imes 100x$$ = Rs. $$50x$$ Let Cost price = Rs. $$y$$ => Profit % = $$frac{50x - y}{y} imes 100 = 25$$ => $$frac{50x - y}{y} = frac{25}{100} = frac{1}{4}$$ => $$200x - 4y = y$$ => $$4y + y = 200x$$ => $$y = frac{200x}{5} = 40x$$ If discount = 10%, => Selling price = $$frac{90}{100} imes 100x = Rs. 90x$$ $$ herefore$$ Profit % = $$frac{90x - 40x}{40x} imes 100$$ = $$5 imes 25 = 125 \%$$