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A certain Social Security recipient will receive an annual

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A certain Social Security recipient will receive an annual [#permalink] New post 22 Jul 2003, 18:44
. A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 50 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
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 [#permalink] New post 22 Jul 2003, 18:58
Annual earning = 9360 + 3*6000 = 27360
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 [#permalink] New post 22 Jul 2003, 20:23
Yeah, but show how you got 50 percent!

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 [#permalink] New post 23 Jul 2003, 05:53
If X is the total income which yields only 50% of annual SS benifit ( which equals to 6000), we have

(X-9360) / 3 = 6000 ( For every 3 dollars in excess of 9360, reduction in benifit = 1 )

Or, X = 9360 + 3 * 6000 = 27630
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  [#permalink] 23 Jul 2003, 05:53
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