Using decimal multipliers, it is found that the value of x is of 16.67.
<h3>What is a decimal multiplier?</h3>Increases of a% or decreases of a% re represented by decimal values, as follows:
- The equivalent multiplier for an increase of a% is given by:
- The equivalent multiplier for an decrease of a% is given by:
In this problem:
- The price at the beginning of January was of a.
- Increase of 20% in January, hence
.
- Decrease of 20% in February, hence
.
- Increase of 25% in March, hence
.
- Decrease of x% in April, hence
The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:
The value of x is of 16.67.
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