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# A certain social security recipient will receive an annual

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Manager
Joined: 09 Feb 2003
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A certain social security recipient will receive an annual [#permalink]

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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

Thanx
Sarnia

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Joined: 24 Nov 2003
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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

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28 Nov 2003, 17:36
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# A certain social security recipient will receive an annual

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