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While collecting a fund

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While collecting a fund

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While collecting a fund, Jason received $200 from 2/5th of his classmates and observed that he is able to meet 1/4th of the required fund. What should be the per head contribution from rest of the class to meet his requirement?

A)100
B)200
C)300
D)400
E)500

Can some experts help me with the formulas?

OA D

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lheiannie07 wrote:
While collecting a fund, Jason received $200 from 2/5th of his classmates and observed that he is able to meet 1/4th of the required fund. What should be the per head contribution from rest of the class to meet his requirement?

A)100
B)200
C)300
D)400
E)500
(Note: We will assume that he received $200 from EACH of the 2/5 of his classmates; otherwise the problem is not able to be solved.)

Let’s assume that the class has n students. Thus, he has collected 200 x (2/5)n = 80n dollars. Since this represents 1/4 of the required fund, thus he still needs 3/4 of the required fund, i.e., 3 x 80n = 240n dollars. Since the the remaining number of students in the class is (3/5)n, then the per- person contribution from these remaining students is:

240n/[(3/5)n] = 240 x 5/3 = 400 dollars

Answer: D

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regor60 wrote:
DavidG@VeritasPrep wrote:
lheiannie07 wrote:
While collecting a fund, Jason received $200 from 2/5th of his classmates and observed that he is able to meet 1/4th of the required fund. What should be the per head contribution from rest of the class to meet his requirement?

A)100
B)200
C)300
D)400
E)500

Can some experts help me with the formulas?

OA D
Let's say Jason has 5 classmates. If he receives $200 from 2/5 of them, or from two classmates, he'll have 2*200 = $400.

If $400 is 1/4 of what he needs, then he requires a total of 4*400 = 1600, leaving him 1200 short of his goal.

So, from the remaining 3 students, Jason needs to raise 1200, or 1200/3 = $400 each. The answer is D
I interpreted this question differently.

Receiving $200 from 2/5 of them implies to me that the total supplied by 2/5 of the class is $200, not that each provides $200.

In which case $800 was the bogey, $600 remaining among 3 members requiring $200 each.
Not unreasonable - the question could have been worded more precisely to avoid any ambiguity. For my interpretation, it probably should have read "Jason received $200 each..." For your interpretation, "Jason received $200 total..."

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lheiannie07 wrote:
While collecting a fund, Jason received $200 from 2/5th of his classmates and observed that he is able to meet 1/4th of the required fund. What should be the per head contribution from rest of the class to meet his requirement?

A)100
B)200
C)300
D)400
E)500

Can some experts help me with the formulas?

OA D
Let's say Jason has 5 classmates. If he receives $200 from 2/5 of them, or from two classmates, he'll have 2*200 = $400.

If $400 is 1/4 of what he needs, then he requires a total of 4*400 = 1600, leaving him 1200 short of his goal.

So, from the remaining 3 students, Jason needs to raise 1200, or 1200/3 = $400 each. The answer is D

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DavidG@VeritasPrep wrote:
lheiannie07 wrote:
While collecting a fund, Jason received $200 from 2/5th of his classmates and observed that he is able to meet 1/4th of the required fund. What should be the per head contribution from rest of the class to meet his requirement?

A)100
B)200
C)300
D)400
E)500

Can some experts help me with the formulas?

OA D
Let's say Jason has 5 classmates. If he receives $200 from 2/5 of them, or from two classmates, he'll have 2*200 = $400.

If $400 is 1/4 of what he needs, then he requires a total of 4*400 = 1600, leaving him 1200 short of his goal.

So, from the remaining 3 students, Jason needs to raise 1200, or 1200/3 = $400 each. The answer is D
I interpreted this question differently.

Receiving $200 from 2/5 of them implies to me that the total supplied by 2/5 of the class is $200, not that each provides $200.

In which case $800 was the bogey, $600 remaining among 3 members requiring $200 each.

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