# Tough and Tricky questions: Percents.

Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 20 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour?

## Answer/Solution

171.4

### Steps/Work

Lets assume the initial production was 100 litres of beer for 100 hr.

With the 20% increase the total amount of beer production will be 120 litres and with 30 % decrease in total hours will be reduced to 70 hr.

100hr ----> 100 lts

1hr -----> 1 lts

70hr -----> 120 lts

1hr -----> 1.714 lts

Total Increase in production for 1 hr = 171.4%

Answer A

With the 20% increase the total amount of beer production will be 120 litres and with 30 % decrease in total hours will be reduced to 70 hr.

100hr ----> 100 lts

1hr -----> 1 lts

70hr -----> 120 lts

1hr -----> 1.714 lts

Total Increase in production for 1 hr = 171.4%

Answer A