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05 May 2023, 08:48
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
59% (02:39) correct
41%
(02:51)
wrong
based on 149
sessions
History
Date
Time
Result
Not Attempted Yet
Citizens of country A need to pay a luxury tax when they buy a cellphone priced at more than $800 dollars. They pay a 22.5% luxury tax on the portion of the total value of the cellphone in excess of $800. If Alex paid $934.75 in total to buy a phone, then how much luxury tax did he pay?
(A) $44.75
(B) $29.75
(C) $24.75
(D) $19.75
(E) $14.75
(A) $44.75
(B) $29.75
(C) $24.75
(D) $19.75
(E) $14.75
05 May 2023, 08:50
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ChandlerBong
Hi Experts Bunuel KarishmaB ThatDudeKnows chetan2u,
Can you please share your approach to this question? Thanks in advance.
Regards,
Chandler.
07 May 2023, 10:51
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Citizens of country A need to pay a luxury tax when they buy a cellphone priced at more than $800 dollars. They pay a 22.5% luxury tax on the portion of the total value of the cellphone in excess of $800. If Alex paid $934.75 in total to buy a phone, then how much luxury tax did he pay?
(A) $44.75
(B) $29.75
(C) $24.75
(D) $19.75
(E) $14.75
Let Cellphone cost = 100n
then, 22.5% tax applicable on the sum in excess of $800
so, Tax = 22.5% of (100n-800)
Thus, Total cost ie, 934.75 = 100n + 22.5% of (100n-800)
934.75 = 100n + (9/40) of (100n-800)
934.75 = 122.5n +180
n = 1114.75 / 122.5
n = 9.1.........(1)
Thus, Tax = 22.5% of (100n-800)
= 22.5% of (910-800)..........using (1)
= (9/40) of 110
= 99/4
= 24.75
(C) is the CORRECT answer
(A) $44.75
(B) $29.75
(C) $24.75
(D) $19.75
(E) $14.75
Let Cellphone cost = 100n
then, 22.5% tax applicable on the sum in excess of $800
so, Tax = 22.5% of (100n-800)
Thus, Total cost ie, 934.75 = 100n + 22.5% of (100n-800)
934.75 = 100n + (9/40) of (100n-800)
934.75 = 122.5n +180
n = 1114.75 / 122.5
n = 9.1.........(1)
Thus, Tax = 22.5% of (100n-800)
= 22.5% of (910-800)..........using (1)
= (9/40) of 110
= 99/4
= 24.75
(C) is the CORRECT answer
