When 20% of itself added into a number it gives 102, find the number.
- 185
- 75
- 90
- 85
Explanation
When 20% of itself is added to the number, it gives 102, so we can set up the equation:
x + (20% of x) = 102
To find 20% of x, multiply x by 0.20:
x + 0.20x = 102
Combine like terms:
1.20x = 102
Divide both sides by 1.20:
x = 102 / 1.20
x = 85
So, the correct answer is: 85
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