A major record label has seen its annual profit decrease in

A major record label has seen its annual profit decrease in recent years. In 2011, the label\'s profit was $142 million. By 2015, the label\'s profit had decreased by 36%.

What was the record label company\'s profit in 2015?

Suppose the record label wants to increase its profit to $142 million by 2017. By what percent must the label\'s profit increase from its 2015 value to reach $142 million within the next two years?

Solution

in 2011 profit = $ 142

2015 profit had decreased by 36%

finding 36% of 142 = 51.12

hence, profit in 2015 = 142 - 51.12 = $ 90.88

in 2015 profit was $ 90.88

and in 2017 wants to increase profit to $142

percentage by which it should increase = ( 142 - 90.88) / 90.88 * 100 = 56.25 %