A number increases from 30 to 40 and then decreases from 40 to 30. Compare the percent of increase from 30 to 40 and that of the decrease from 40 to 30.

10/30 = ?

10/40 = ?

10/30 = 33.33%

10/40 = 25%

To compare the percent of increase from 30 to 40 and the percent of decrease from 40 to 30, we need to calculate the percent change in each case.

To find the percent of increase, we subtract the initial value from the final value, divide that by the initial value, and multiply by 100.

Percent increase = ((final value - initial value) / initial value) * 100

In this case, the initial value is 30 and the final value is 40.

Percent increase from 30 to 40 = ((40 - 30) / 30) * 100 = (10 / 30) * 100 = 33.33%

To find the percent of decrease, we use the same formula but reverse the order of subtraction.

Percent decrease = ((initial value - final value) / initial value) * 100

In this case, the initial value is 40 and the final value is 30.

Percent decrease from 40 to 30 = ((40 - 30) / 40) * 100 = (10 / 40) * 100 = 25%

Comparing the two percentages, the percent of increase from 30 to 40 is 33.33%, while the percent of decrease from 40 to 30 is 25%. Therefore, the increase percentage is higher than the decrease percentage.