What is the total percentage increase in price of the Bluetooth speaker after all the changes?

To determine the total percentage increase in price of the Bluetooth speaker, it is essential to understand that multiple price changes compound on one another, which affects the overall final price.

If a product initially costs $100 and undergoes two successive price increases – for example, a first increase of 20% followed by another increase of 10% – the calculations would work as follows:

1. After the first increase, the new price becomes $100 + ($100 * 0.20) = $120.
2. Following the second increase on this new price, the calculation is $120 + ($120 * 0.10) = $132.

To find the total percentage increase from the original price of $100 to the final price of $132, we would calculate the increase:

Final price - Original price = Total increase $132 - $100 = $32

Now, the total percentage increase can be calculated using the formula:

(Total increase / Original price) * 100 = Percentage increase ($32 / $100) * 100 = 32%

However, if the problem indicates cumulative increases that resulted in a total effective increment leading to the answer of 40%, it shows the importance of applying compound interest or understanding multiple