What is the profit percentage of a dishonest cloth merchant who uses a scale which measures $16\frac{2}{3}$% less than what is marked on it, and also sells at a price 10% higher than the cost price?

32%

$16\frac{2}{3}$%  = \(\frac{1}{6}\)

10% = \(\frac{1}{10}\)

Let all quantity in price=

                                  CP              SP

Measurement =           5                 6

Cost  =                       10              11

                     ———————————————

                                50               66

Profit % = ( 66 - 50 ) × \(\frac{100}{50}\) = 32%