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05 Mar 2026, 15:07
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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:
46% (02:19) correct
54%
(03:01)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
In Spalandia, the listed price of goods includes a 25% sales tax. When leaving the country, foreign tourists may claim a refund of the sales tax actually paid. After touring Spalandia, Sandra applies for a refund of the sales tax she paid on her purchases, believing that the refund will equal 25% of the listed price of the goods, but the refund she actually receives is $882 less than she calculated . What was the total listed price of Sandra’s purchases during her tour in Spalandia?
A. $14,112
B. $16,800
C. $17,640
D. $18,522
E. $22,050
A. $14,112
B. $16,800
C. $17,640
D. $18,522
E. $22,050
poojaarora1818
Joined: 30 Jul 2019
Last visit: 29 Apr 2026
Posts: 1,631
Given Kudos: 3,825
Location: India
Concentration: General Management, Economics
Schools: Duke '27 Haas '27 Kelley '27 Kellogg '27 McDonough '27
GPA: 3
WE:Human Resources (Real Estate)
Products:
05 Mar 2026, 20:29
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Solution:
Let's assume P be the initial of the goods that is before the sales tax and F be the final price after the sales tax.
Final price after the sales tax
F = P(1+25%) = 1.25P
Now, let's calculate P in terms of F
P = F/1.25 = 0.8F
Actual taxes paid = F - P=> F-0.8 = 0.2F
Expected Refund = 0.25F
Difference Amount = Expected - Actual taxes paid=> 882 = 0.25F - 0.20F = 17640.
Answer: Option C
Let's assume P be the initial of the goods that is before the sales tax and F be the final price after the sales tax.
Final price after the sales tax
F = P(1+25%) = 1.25P
Now, let's calculate P in terms of F
P = F/1.25 = 0.8F
Actual taxes paid = F - P=> F-0.8 = 0.2F
Expected Refund = 0.25F
Difference Amount = Expected - Actual taxes paid=> 882 = 0.25F - 0.20F = 17640.
Answer: Option C
kevincan
05 Mar 2026, 22:12
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kevincan
Let the original price of the item be 100x.
Sales tax = 25%*(100x) = 25x.
Listed price = 100x + 25x = 125x.
Refund actually given is 25x = sales tax.
Sandra believes the refund will be = 25%*(Listed price ) = 25%*(125x)
So, the difference given is $882.
(1/4)*(125x) - 25x = 882
25x = 4*882
x = (4*882)/25
Thus, listed price = 125x
= 125 * [(4*882)/25]
= 20*882
= $17640
Option C
