if a positive number is increased by 70% and then the result is decreased by 50% what is the overall percentage change
(n*1.70)*.50 = n*.85
so, net change is -15%
15%
To find the overall percentage change, we need to calculate the net change in percentage from the initial number to the final number. Here's how we can do it step by step:
1. Let's assume the initial positive number is X.
2. Increasing X by 70% will give us X + (X * 70/100) or 1.7X.
3. Decreasing 1.7X by 50% will give us 1.7X - (1.7X * 50/100) or 0.85X.
4. Now we need to find the net change from the initial number X to the final number 0.85X.
Net change = (Final Value - Initial Value) / Initial Value * 100
Substituting the values:
Net change = (0.85X - X) / X * 100
= (-0.15X) / X * 100
= -15%
Therefore, the overall percentage change is -15%. This means there is a 15% decrease from the initial positive number X to the final number 0.85X.