Can you please tell me whether the percentage change formula below can be used in place of both the percentage gain formula and the percentage loss formula below? Thank you in advance.
I have seen that percentage gain can be calculated using this formula:
$$\frac{2\text{nd value}}{\text{original value}} (-1) (\cdot 100)$$
e.g. original value = 10, 2nd value = 12 12/10 -1 x 100 = 20% percentage gain
and percentage loss as follows:
$$1 - \frac{\text {second value}}{\text{original}} \cdot 100$$
e.g. original value = 12, 2nd value = 10 1- 10/12 x 100 = 20% loss
Do their results differ from the result the following percentage change formula gives? Or can this be used to replace both formulas? : $$\frac{\text{new value} - \text{old value}}{\text{new value}}$$
Percentage change is always calculated with respect to original value.
Hence percentage change=$\frac{(new\ value)-(old\ value)}{old\ value}\times 100$
As for whether this formula can replace both for loss and gain remember that this would be you formula for gain i.e., if there is a gain then there is no change of formula while if there is a loss then to calculate loss percentage you need to take negative of this formula
%Gain=$\frac{(new\ value)-(old\ value)}{old\ value}\times 100$
%Loss=$\frac{(old\ value)-(new\ value)}{old\ value}\times 100$ to ensure that you get a positive output.