When an article is sold at \(\frac{7}{8}\) of the its selling price, there is a loss of 37%. What will be the profit percent, when the same article is sold at \(\frac{19}{12}\) of its selling price?

14%

Let the selling price = z

                 New SP = \(\frac{7}{8}\)Z

                        CP = \(\frac{7}{8}\)Z × \(\frac{100}{63}\)

                            = \(\frac{25}{18}\)Z

Now, If it is sold for \(\frac{19}{12}\) of its SP

                         Now SP = \(\frac{19}{12}\)Z

Profit % = \(\frac{(\frac{19}{12}Z - \frac{25}{18}Z)}{\frac{25}{18}Z}\) x 100

Profit % = \(\frac{7}{36}\)Z × \(\frac{18}{28}\)Z x 100 = 14%