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Re: For Jack, income tax is between 15 and 35 percent of total i [#permalink]
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We are given that income tax percent is between 15 and 35 and the amount of income tax is $8,700.
Thus, 8,700= 15/100 x, thus x= 24,857 and 8,700= 35/100 x, thus x= 58,000.
To find the range, add exclusion amount to these numbers.
Thus, 58,000 + 9,800 = 67,800 (high) and 24,857 + 5,200 = 30,057 (low).
Options C, D, E and F are inside this range.
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Re: For Jack, income tax is between 15 and 35 percent of total i [#permalink]
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I would start this sum by doing trial and error. I would randomly choose any number which is not too extreme maybe 23100 in the above sum. Irrespective of the exclusion amount he paid 8700 as tax. So, I would subtract 23100-8700=14400 35% of 14400 which is 5040 it is not between $5,200 and $9,800 so I can negate option A and B as A is smaller than B. Then rather than checking the next number that the value would at least rise to $5200 so C is in. I can then check last or the second last value if I consider $63,500-8700=54800*15%=8220 satisfies moving forward to 73600-8700=64900*15%=9735 negating my last option too and all the values between 33200 and 63500 are my answer. Thus C, D, E, F.
And a suggestion this question would definitely not be a sum I would like to do it in my first go until and unless I am good with arithmetic.
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Re: For Jack, income tax is between 15 and 35 percent of total i [#permalink]
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