To find the overall percentage change, we need to calculate the net effect of increasing the number by 30% and then decreasing it by 40%.
Let's say our original number is "x".
Increasing the number by 30% means adding 30% of x to the original number:
New number = x + 0.3x = 1.3x
Decreasing the number by 40% means subtracting 40% of the new number from it:
New number = 1.3x - 0.4(1.3x) = 1.3x - 0.52x = 0.78x
To calculate the overall percentage change, we compare the difference between the new number and the original number to the original number:
Overall percentage change = (New number - Original number) / Original number * 100
Substituting in the values we found:
Overall percentage change = (0.78x - x) / x * 100 = -0.22x / x * 100 = -22%
Therefore, the overall percentage change is -22%. This means the number decreased by 22% overall.
IF A NUMBER IS INCREASED BY 30% AND DECREASED BY 40% WAT IS THE OVERALL PERCENTAGE CHANGE AND EXPLAIN YOUR ANSWER
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