Effect of subtracting a percent from a quantity: Subtracting 6% of A from A is equivalent to multiplying A by what factor?

Introduction / Context:When a fixed percent of a quantity is removed, the remainder is a specific fraction (or decimal) of the original. This is a routine transformation used frequently in successive change problems.

Given Data / Assumptions:

• You remove 6% of A from A.
• We want the multiplicative factor applied to A to obtain the remainder.

Concept / Approach:Subtracting 6% means retaining 100% − 6% = 94% of A. Converting 94% to decimal gives the multiplier.

Step-by-Step Solution:

Verification / Alternative check:Example: If A = 100, subtract 6% (6) leaves 94, which is 0.94 * 100.

Why Other Options Are Wrong:

• 9.4 and 94 are increases by factors of 10 or 100.
• 0.094 is 9.4% of A, not 94%.
• 0.964 is 96.4%, not 94%.

Common Pitfalls:Misplacing decimals when converting percents to decimal multipliers. Always divide the percent by 100 to get the factor.

Final Answer:0.94