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I need a common word that in its meaning include either discount or supplement.

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What do you mean by "supplement"? And do you want a word that includes both meanings (as your title implies) or that includes either meaning (as your body text implies)? – Marthaª Feb 15 '11 at 1:21
up vote 3 down vote accepted

In a financial context, I would use the word "Adjustment" to describe a modification of a base amount.

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Use adjust as a verb that could mean discount (as a verb) or supplement (as a verb.) – oosterwal Feb 15 '11 at 5:47

Incentive? Percentage? Hard to say without a bit more context.

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