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An estate of $216,000 is divided equally among p people who must each

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Bunuel
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An estate of $216,000 is divided equally among p people who must each [#permalink] New post   09 Feb 2015, 06:31
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An estate of $216,000 is divided equally among p people who must each pay the lawyer d percent of their share. What is the value of d?

(1) p = 4
(2) The lawyer will receive $270 from each of the p people.

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sterling19
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink] New post   10 Feb 2015, 06:39
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(1) p = 4 [Insufficient] This tells us that each share was $54,000, but any percentage of that share could have been paid to the lawyer.
(2) The lawyer will receive $270 from each of the p people. [Insufficient] Without knowing how many people there are, we cannot determine how large each share is. We do not know what percentage of each share $270 represents.

Taking both statements together, we can find that \($270 / $54,000 = 0.5%\) of each share. The correct answer is C.
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink] New post   10 Feb 2015, 12:52
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An estate of $216,000 is divided equally among p people who must each pay the lawyer d percent of their share. What is the value of d?

(1) p = 4
(2) The lawyer will receive $270 from each of the p people.


We are asked for the VALUE of d. Since d is a percent, we need the WHOLE and the PART.

(1) -> gives us the WHOLE, but not the PART. 216000$/4->54k$ -> Insuff
(2) -> gives us the PART, but not the WHOLE.

together we have the whole and the part -> 270/54000 -> we get d

So its C
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink] New post   16 Feb 2015, 05:18
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Bunuel wrote:
An estate of $216,000 is divided equally among p people who must each pay the lawyer d percent of their share. What is the value of d?

(1) p = 4
(2) The lawyer will receive $270 from each of the p people.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION

Correct Answer: C

Statement 1 allows us to determine how much each of the 4 people received $216,000/4 = $54,000, but does not provide enough information to solve for d. Statement 1 is, therefore, insufficient.

Statement 2 tells us the sum that the lawyer received, but without knowing the number of people, or the value of each share, we cannot determine the overall value of the lawyer's receipts, or the percentage of each share that the lawyer receives. Therefore, statement 2 is insufficient.

When the statements are taken together, we can determine the value of each share, and will therefore be able to determine what percent of each share $270 represents. Accordingly, both statements together are sufficient, and the correct answer is C.
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink] New post   16 Feb 2015, 22:33
p=4 hence each persons share 54000 and using the 2nd statement 270/54000*100=1/2 %.Done Hence C
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink] New post   17 Feb 2015, 00:55
Bunuel wrote:
An estate of $216,000 is divided equally among p people who must each pay the lawyer d percent of their share. What is the value of d?

(1) p = 4
(2) The lawyer will receive $270 from each of the p people.

Kudos for a correct solution.


Lawyer gets = d*216000/p ---- (1)

P and d are unknown.

1. Give the value of P(=4). But d is unknown
2. Gives the amount which the lawyer earns per person. But p is unknown thereby giving us less data to calculate the percentage.

Combining 1 & 2 and inputting the values in eq (1)

270 = d*216000/4

d = 0.5%

Thus Option C.
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink] New post   10 Nov 2016, 13:37
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Re: An estate of $216,000 is divided equally among p people who must each [#permalink]
10 Nov 2016, 13:37
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