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If the total price of n equally priced bonds was $15,000, what was the

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Kudos [?]: 128870 [0], given: 12183

If the total price of n equally priced bonds was $15,000, what was the [#permalink]

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New post 17 Sep 2017, 03:08
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If the total price of n equally priced bonds was $15,000, what was the price of one bond?

(1) If the price of each bond had been $2 more, the total price of the n bonds would have been $40,000.
(2) If the price of each bond was doubled, the total price of n bonds would be $30,000.
[Reveal] Spoiler: OA

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Kudos [?]: 128870 [0], given: 12183

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Kudos [?]: 4 [0], given: 18

Re: If the total price of n equally priced bonds was $15,000, what was the [#permalink]

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New post 18 Sep 2017, 01:56
Bunuel wrote:
If the total price of n equally priced bonds was $15,000, what was the price of one bond?

(1) If the price of each bond had been $2 more, the total price of the n bonds would have been $40,000.
(2) If the price of each bond was doubled, the total price of n bonds would be $30,000.



From Stem, there are 'n' number of bonds, say, each priced at $x. Total price is $15000
So, this can be written as n*x = 15000
From Stmt (1) --> if price of each bond is $2 more, then total price would be $40000
so, it would be n(x+2) = 40000 = 25000 - 15000
n(x+2) = 25000 - nx ---> nx = 15000 from stem
nx + 2n = 25000 - nx
2n = 25000
n = 12500
So, there were 12500 bonds and the total price of 12500 bonds was 15000, so price of each bond would be 12500/15000.

So, stmt (1) is sufficient.

From Stmt(2), if the price of each bond was doubled, the total price would be $30000
n(2x) = 30000 ---> nx = 15000. Same info as stem. Redundant info. Stmt(2) is not sufficient.

So (A) would be my pick.

Kudos [?]: 4 [0], given: 18

Re: If the total price of n equally priced bonds was $15,000, what was the   [#permalink] 18 Sep 2017, 01:56
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