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Subtracting 90% of X from X is equivalent to multiplying X by:
0.8
0.5
0.1
0.9
0.1
Subtract the percentage from 100% (1.00) to get the decimal multiplier: 100% - 90% = 10%, which equals 0.1.
We are given a number X and we need to subtract 90% of X from it.
XтИТ(90%┬аof┬аX)=XтИТ0.9X
Subtract the percentage from 100% (1.00) to get the decimal multiplier: 100% - 90% = 10%, which equals 0.1.
Many students mistake 'subtracting 90%' for 'leaving 90%' and incorrectly choose 0.9.
Define the expression
Subtracting 90% of X from X can be written mathematically as XтИТ10090тАЛX.
XтИТ0.9X
Simplify the expression
Factoring out X, we get X(1тИТ0.9).
X(0.1)=0.1X
Conclusion
The coefficient of X is 0.1, which represents the multiplier.
0.1
C is correct because subtracting 90% of X from X results in 10% of X, which is equivalent to 0.1 times X.
This concept is fundamental for Profit and Loss (e.g., loss percentage) and Discount problems, where selling price = cost price ├Ч (1 - discount %).
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