The number x was increased by 25%, and then the resulting number was decreased by 25%.
| April 26, 2021 | education
The number x was increased by 25%, and then the resulting number was decreased by 25%. The result is 150. Find the number x.
Let’s write the initial value of the number x as 100%.
After this number was increased by 25%, it was:
100% + 25% = 125% (of the number x).
We accept the resulting value equal to 100%.
After reducing the number by 25%, it was:
100% – 25% = 75% (from the previous value).
From this it follows that 150 were:
125% * 75% / 100% = 93.75% (of the number x).
We find the value of the number x.
We divide 150 by the percentage.
As a result, we get:
150 / 93.75% = 150 / 0.9375 = 160.
Answer: The number x was equal to 160.
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