the output of a factory was increased by 15 % to keep up with rising demand . to handle the holiday rush , this new output was increased by 20 % . by approximately what percent would the output now have to be decreased in order to restore the original output ?
the original output increases by 15 % and then 20 % . total % change = a + b + ab / 100 total % change = 15 + 20 + 15 * 20 / 100 = 38 % now , you want to change it to 0 , so , 0 = 38 + x + 38 x / 100 x = - 38 ( 100 ) / 138 = 27 % approximately answer is b
divide(multiply(subtract(add(add(const_100, 15), multiply(add(const_100, 15), divide(20, const_100))), const_100), const_100), add(add(const_100, 15), multiply(add(const_100, 15), divide(20, const_100))))