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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 28 Nov 2003, 11:28
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A certain social security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9360 or less but the benefit will be reduced by $1 for every $3 for annual earnings over 9360. What amount of total annual earnings would result in a fifty percent reduction in the recipientтАЩs annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings)
a.15,360
b.17,360
c.18,000
d.21,360
e.27,360

Please explain your answer
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 [#permalink] New post 28 Nov 2003, 17:36
If annual earning is <= $9360 then SS benefit is $12000
For every $3 >9360 in earnings, recepient looses $1 from the $12000

Now the person were to loose 50% of the SS benefits, i.e 0.5*12000=6000
so the person would have to earn 6000*3=18000 above the 9360 figure.

hence 18000+9360=$27,360
  [#permalink] 28 Nov 2003, 17:36
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