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05 Jul 2025, 07:42
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p dollars for the first 5 miles of any trip plus 0.1*p dollars for each additional mile or fraction of a mile.
Given the statements
(1) The moving service charged a total of 3.3p dollars for the trip.
First 5 miles cost = p
Remaining amount = 3.3p − p = 2.3p
Cost per additional mile = 0.1p
Remaining miles = 2.3p/0.1p = 23 miles
Total miles = 23 + 5 = 28 miles
Trip was not more than 30 miles.
(2) The moving service charged a total of $132 for the trip.
First 5 miles cost = p
Total cost = p +0.1p⋅⌈x−5⌉ = 132
=> p =132/(1+0.1n) [Let ⌈x−5⌉ = n]
Lets say n = 25 => Total miles = 25+5 = 30
p = 132/(1+0.1*25) = 37.71 > 30
Lets say n = 25 => Total miles = 24+5 = 29
p = 132/(1+0.1*24) = 38.82 > 30
So in both cases of being lesser and greater than 30 miles is possible
A. Statement (1) alone is sufficient, but statement (2) alone is not
Given the statements
(1) The moving service charged a total of 3.3p dollars for the trip.
First 5 miles cost = p
Remaining amount = 3.3p − p = 2.3p
Cost per additional mile = 0.1p
Remaining miles = 2.3p/0.1p = 23 miles
Total miles = 23 + 5 = 28 miles
Trip was not more than 30 miles.
(2) The moving service charged a total of $132 for the trip.
First 5 miles cost = p
Total cost = p +0.1p⋅⌈x−5⌉ = 132
=> p =132/(1+0.1n) [Let ⌈x−5⌉ = n]
Lets say n = 25 => Total miles = 25+5 = 30
p = 132/(1+0.1*25) = 37.71 > 30
Lets say n = 25 => Total miles = 24+5 = 29
p = 132/(1+0.1*24) = 38.82 > 30
So in both cases of being lesser and greater than 30 miles is possible
A. Statement (1) alone is sufficient, but statement (2) alone is not
adityaprateek15
Joined: 26 May 2023
Last visit: 13 May 2026
Posts: 346
Given Kudos: 323
Location: India
Schools: Ross '26 Tepper '26 McCombs '26
GPA: 2.7
05 Jul 2025, 07:50
Kudos
Bookmarks
St.1:
P(1+01.m) = 3.3p
01.m = 2.3
M=23
M<25
Sufficient
St.2:
P(1+01.m) = 132
Since P>30, (1+0.1m)<132/36
1+0.1m<4.4
01.m<3.3
M<33
But is m>25. Not sufficient.
Option A
P(1+01.m) = 3.3p
01.m = 2.3
M=23
M<25
Sufficient
St.2:
P(1+01.m) = 132
Since P>30, (1+0.1m)<132/36
1+0.1m<4.4
01.m<3.3
M<33
But is m>25. Not sufficient.
Option A
Bunuel
05 Jul 2025, 08:02
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Charge=p+0.1p×⌈max(0,d−5)⌉,
Statement (1): The total charge is 3.3p
3.3p=p+0.1p(d−5)
d-5 = 23
d=28
Statement 1 is suffucient
Statement (2): The total charge is $132.
Statement (1): The total charge is 3.3p
3.3p=p+0.1p(d−5)
d-5 = 23
d=28
Statement 1 is suffucient
Statement (2): The total charge is $132.
Bunuel
