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14 Mar 2019, 01:50
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
89% (02:03) correct
11%
(02:16)
wrong
based on 37
sessions
History
Date
Time
Result
Not Attempted Yet
Last year Mr. John Q. Public received an inheritance. He paid 20% in federal taxes on the inheritance, and paid 10% of what he had left in state taxes. He paid a total of $10, 500 for both taxes. How many dollars was the inheritance?
(A) 30, 000
(B) 32, 500
(C) 35, 000
(D) 37, 500
(E) 40, 000
(A) 30, 000
(B) 32, 500
(C) 35, 000
(D) 37, 500
(E) 40, 000
14 Mar 2019, 02:58
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Solve:
\(0.2x + 0.1(x - 0.2x) = 10500\)
\(0.3x -\frac{1}{50}x = 10500\)
\(\frac{15x - x}{50}= 10500\)
\(x = 10500 * \frac{50}{14} = 1500 * 25 = 37500\)
Imho, correct answer is D.
\(0.2x + 0.1(x - 0.2x) = 10500\)
\(0.3x -\frac{1}{50}x = 10500\)
\(\frac{15x - x}{50}= 10500\)
\(x = 10500 * \frac{50}{14} = 1500 * 25 = 37500\)
Imho, correct answer is D.
Archit3110
Major Poster
14 Mar 2019, 05:03
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Bunuel
IMO D
37500*.8*.9 = 27,000
i.e 10,500 amount of both taxes
