After a long career, John C. Walden is retiring. If there are 25 assoc

Question

After a long career, John C. Walden is retiring. If there are 25 associates who contribute equally to a parting gift for John in an amount that is an integer, what is the total value of the parting gift?

(1) If four associates were fired for underperformance, the total value of the parting gift would have decreased by $200
(2) The value of the parting gift is greater than $1,225 and less than $1,275

Source: Platinum GMAT

GMATinsight · Answer

Total Value of Parting Gift = (Amount contributed by each associate) * (No. of associates who contributed actually)

Question : FInd the valu e of parting Gift?

Statement 1: If four associates were fired for underperformance, the total value of the parting gift would have decreased by $200

i.e. The total Contribution of 4 associates = $200
i.e. The total Contribution of each associates = $50
i.e. The total Contribution of 25 associates = Value of Parting Gift = $50*25 = $1250

SUFFICIENT

Statement 2: The value of the parting gift is greater than $1,225 and less than $1,275

Since 25 associates contributed therefore the value of Parting gift must be an Integer Multiple of 25
The only Integer multiple of 25 between 1225 and 1275 is 1250
hence Value of Parting Gift =$1250

SUFFICIENT

Answer: option D

shriramvelamuri · Answer

I think its Option A.

Option A: four associates missing, yielded $200. Hence each is contributing 50 dollars. Hence the amount can be said 1250 dollars.

Option B: Says the amount is integer, but it does not say that amount contributed by each has to be an integer.

If each associate is contributing $ 49.2 => 25 X $ 49.2= $ 1230

if each associate is contributing $ 49.4=> 25 X $ 49.4= $ 1235

and etc. Many integer amounts possible.

Hence Option A.

GMATinsight · Answer

The meaning of Highlighted line in the question stem is that 1) every member Contributed equally for the Gift 2) Every member makes a contribution of an amount which is an Integer Number Therefore, Highlighted part of your explanation has the error that you might want to correct :lol:

shriramvelamuri · Answer

The question is not clear whether the contribution is integer or the total amount is integer.

lets wait and see other's perspective or our legendary Bunuel can clarify it.

reto · Answer

Statement 1:
4 Associates contribute 200. 1 Associate therefore contributes 50. From there you can calculate the total = 25*50 >>> Sufficient

Statement 2:
The total amount is an integer and therefore a multiple of $25. Only $1250 is possible. Sufficient.

Answer D.

Harley1980 · Answer

Hello  reto

If  total amount  is an integer (as you wrote) then correct answer is A because possible another variants: $49.4*25=1235
And if amount of  each part  is integer then answer is D because only 1250 is possible.

(wording of task a little bit confusing for me but I understand this task as  each part is integer  so answer is D)

Turkish · Answer

opt.1. 
4---------- 200
25------ 200/4*24= 1250

I went with A, I realized my mistake.I didn't even consider it when I read it. The correct Answer is D

lipsi18 · Answer

Total gift value =25*X=T
1. 21X=T-200 ; we get value of X by equation above equation, so Sufficient
2. T has to be an integer and divisible by 25 only 1250 satisfy this criteria, sufficient

Hence answer is D
Thanks

Bunuel · Answer

Platinum GMAT Official Solution:

Simplify the question by translating it into algebra.
Let P = the total value of John's parting gift
Let E = the amount each associate contributed
Let N = the number of associates
P = NE = 25E

With this algebraic equation, if you find the value of either P or E, you will know the total value of the parting gift.

Evaluate Statement (1) alone.

Two common ways to evaluate Statement (1) alone:

Statement 1: Method 1 
Since the question stated that each person contributed equally, if losing four associates decreased the total value of the parting gift by $200, then the value of each associate's contribution was $50 (=$200/4).
Consequently, P = 25E = 25(50) = $1,250.

Statement 1: Method 2 
If four associates leave, there are N - 4 = 25 - 4 = 21 associates.
If the value of the parting gift decreases by $200, its new value will be P - 200.
Taken together, Statement (1) can be translated:
P - 200 = 21E
P = 21E + 200
You now have two unique equations and two variables, which means that Statement (1) is SUFFICIENT.

Although you should not spend time finding the solution on the test, here is the solution. 
Equation 1: P = 21E + 200
Equation 2: P = 25E
P = P
25E = 21E + 200
4E = 200
E = $50
P = NE = 25E = 25($50) = $1250

Evaluate Statement (2) alone.

Statement (2) says that $1,225 < P < $1,275. It is crucial to remember that the question stated that "25 associates contribute equally to a parting gift for John in an amount that is an integer." In other words P / 25 must be an integer. Stated differently, P must be a multiple of 25.

There is only one multiple of 25 between 1,225 and 1,275. That number is $1,250. Since there is only one possible value for P, Statement (2) is SUFFICIENT.
Since Statement (1) alone is SUFFICIENT and Statement (2) alone is SUFFICIENT,  answer D is correct.

bumpbot · Answer

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