percentage -Trickey

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percentage -Trickey

by guerrero » Mon May 27, 2013 11:46 am
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 5 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?


(A) 20%
(B) 17%
(C) 4.0%
(D) 3.3%
(E) 2.8%

OA E
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by srcc25anu » Mon May 27, 2013 12:17 pm
Let total estate be 180
Each of 5 children + All Grandchildren's share are equal. SO we need to split this 180 into 6 equal parts - one each for 5 children and 1 part for 6 Grandchildren.
Each share will be 180 / 6 = 30
Now Grandchildren's share of 30 will be divided equally between 6 grandchildren so each Grandchild will receive 30/6 = 5
Now 5 is what % of 180?
(5 * 100) / 180 = 2.8%

Ans E

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by GMATGuruNY » Mon May 27, 2013 4:48 pm
guerrero wrote:Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 5 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?


(A) 20%
(B) 17%
(C) 4.0%
(D) 3.3%
(E) 2.8%

OA E
Let the amount per grandchild = 1.
Total for the 6 grandchildren = 6*1 = 6.
Since the amount per child is equal to the TOTAL amount split among the 6 grandchildren, the amount per child = 6.
Total for the 5 children = 5*6 = 30.
Thus:
Percent per grandchild = (amount per grandchild)/(total estate) * 100 = 1/(6+30) * 100 = 100/36 = 25/9 ≈ 2.8.

The correct answer is E.
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by deepsea13 » Mon May 27, 2013 10:36 pm
You can solve this problem by either plugging in values or by using algebra. I've used algebra, because I'm not all that comfortable with plugins.

Explanation:

We have 5 children and 6 grandchildren.

Now assume each child gets an 'x' share. Therefore, 5 children will get a share of '5x'

Similarly, 6 grandchildren will get a share of '6y'

However, the problem tells us that the total share of the 6 grandchildren is equal to the share of one child. So, 6y = x OR y=(x/6)

So, our total estate share is = 5x (For the five children) + x (For the 6 grandchildren) = 6x
Now we need to find out the %age that each grandchild receives.

Here's our formula: (Each grandchild's share/ Total share) x 100

=> (x/6)/6x x 100 = 100/36 which approximately comes to 2.8&
Answer is E