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Difficulty:
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83% (01:33) correct
17%
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An outgoing batch of students wants to gift a PA system worth $4200 to their school. If the teachers offer to pay 50% more than the students, and an external benefactor gives three times teachers’ contribution, how much should the teachers donate?
(A) 600
(B) 840
(C) 900
(D) 1200
(E) 1800
_________________
(A) 600
(B) 840
(C) 900
(D) 1200
(E) 1800
_________________
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AdarshSambare
Joined: 29 Jan 2022
Last visit: 02 Sep 2026
Posts: 314
Concentration: General Management, Sustainability
GPA: 2
WE:Engineering (Manufacturing)
Posts: 314
Let students contribute = S
Teachers contribute = 1.5S
Benefactor contributes = 3 × teachers = 4.5S
Total = S + 1.5S + 4.5S = 7S
7S = 4200 → S = 600
Teachers = 1.5S = 1.5 × 600 = 900
Answer: C
Teachers contribute = 1.5S
Benefactor contributes = 3 × teachers = 4.5S
Total = S + 1.5S + 4.5S = 7S
7S = 4200 → S = 600
Teachers = 1.5S = 1.5 × 600 = 900
Answer: C
Let's solve with the help of ratio
Hence, C
GMAT-Club-Forum-hooz8lhg.png [ 3.78 KiB | Viewed 977 times ]
Hence, C
Bunuel
Attachment:
GMAT-Club-Forum-hooz8lhg.png [ 3.78 KiB | Viewed 977 times ]
Bunuel
The total value of the PA system = $4200
The ratio of contribution of Teacher = 50% more than that of students.
T = (1+1/2)*S
T = (3/2)*S
T: S = 3x : 2x
Moreover, it’s mentioned that external benefactor donates 3 times as teacher does.
Ext Benefactor = 3* (3x) = 9x
Teacher : Student : External Benefactor = 3x : 2x : 9x . Totally = 14x
Given that 14x = $4200
x = $300
Contribution of Teacher = 3x = 3*$300 = $900.
Option C
An outgoing batch of students wants to gift a PA system worth $4200 to their school. If the teachers offer to pay 50% more than the students, and an external benefactor gives three times teachers’ contribution, how much should the teachers donate?
Let, students pay= x
Teachers pay= 1.50*x =?
External benefactor pay= 3*(1.50x)= 4.50x
x+1.50x+4.50x=4200
x=600
Teachers pay= 1.50x =1.5*600=900
C
Let, students pay= x
Teachers pay= 1.50*x =?
External benefactor pay= 3*(1.50x)= 4.50x
x+1.50x+4.50x=4200
x=600
Teachers pay= 1.50x =1.5*600=900
C
Souradeep17
Joined: 01 May 2025
Last visit: 20 Apr 2026
Posts: 328
Location: India
Concentration: Technology, Strategy
GMAT Focus 1: 605 Q80 V79 DI81 
GPA: 9.4
WE:Information Technology (Computer Software)
GMAT Focus 1: 605 Q80 V79 DI81
Posts: 328
Students give x
Teachers give 3x/2
Other benefactor 9x/2
Total 12x=4200
X=600
Teachers will give 3x/2
3*600/2=900 option C
Teachers give 3x/2
Other benefactor 9x/2
Total 12x=4200
X=600
Teachers will give 3x/2
3*600/2=900 option C
Bunuel
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