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# Lana bought two lots last year and sold both of them

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GMAT Instructor
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Lana bought two lots last year and sold both of them [#permalink]  31 Jul 2007, 09:16
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Lana bought two lots last year and sold both of them yesterday. If the selling price of lot B was twice that of lot A, did Lana make a profit on the sale of these two lots?

(1) Lana sold lot A for 20% more than its purchase price.
(2) Lana sold lot B for more than 90% of its purchase price.
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Re: DS: Lana's Lots [#permalink]  31 Jul 2007, 09:42
kevincan wrote:
Lana bought two lots last year and sold both of them yesterday. If the selling price of lot B was twice that of lot A, did Lana make a profit on the sale of these two lots?

(1) Lana sold lot A for 20% more than its purchase price.
(2) Lana sold lot B for more than 90% of its purchase price.

C:

1: we do not know about the purchase price of B. nsf.
2: we do not know about the purchase price of A. nsf.

1&2: we can sayt hat Lana made progit.
Manager
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I would say E.

If lot B sold for exactly 90% of its purchase price, with the information from both statements, Lana took a loss. But we are told it sold for more than 90% of price, so it could be a profit depending on how much more than 90%. I plugged in a couple values and at 90% it's a loss.
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Re: DS: Lana's Lots [#permalink]  31 Jul 2007, 17:12
Thanks "Robin in NC". i am sure you got it.

I sleeped on 90%, which i assumed as 190%, in B. with 90%, it is perfectly make sense to go with E.

Himalayan wrote:
kevincan wrote:
Lana bought two lots last year and sold both of them yesterday. If the selling price of lot B was twice that of lot A, did Lana make a profit on the sale of these two lots?

(1) Lana sold lot A for 20% more than its purchase price.
(2) Lana sold lot B for more than 90% of its purchase price.

C:

1: we do not know about the purchase price of B. nsf.
2: we do not know about the purchase price of A. nsf.

1&2: we can sayt hat Lana made progit.
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Did lana make a profit?

(A) and (B) together enable us to answer the question. The answer should be (C).
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Let selling price of B be B and selling price of A be A

B = 2A

St1:
A = 1.2a. Although we know B = 2A, but we don't know if the purchase price of B is much higher than 2A. Insufficient.

St2:
B > 0.9b. We do not know if she sold A at a great profit though. Insufficient.

using st1 and st2:
If a = 10, then A = 12, and B = 24. 24> 0.9b--> 26>b. If b is 25.9, then overall profit = 0.1. Overall, Lana should make a profit.

Ans C
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OK at first I thought it was E...but now I am sure its E...

here is say A=selling Price of PropertyA, B=selling Price of Property B

a=purchase price of Property A, b=purchase price of Property B.

B=2A.

1) A=1.2a
insuff

2) B>0.9b

insuff

together...lets see

suppose a=10 ; A=12 therefore B=24

ok lets look at worse case scenario she sells for 0.900001b

so if 0.9b=24 then b=25.9999

net loss from b=26.666-24.00=2.66

profit from property A is 2...

2-2.66=0.66 loss...

however if she sells for higher than 90% then she could potentially make a profit on both..all she needs to sell is the property for 91% of b...
Manager
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I still think it's E.

We know that if she sold the second property for 90% it's a loss, and even if at 91% it's a profit, we don't know that she sold it for 91%. All we know is she sold it for more than 90% - it could be 90.0001%. So we can't know if it was a profit or a loss.
Manager
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my answer is C. use the method similar to fresinha12's.
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I think we are getting confused with the varbage of statement 2.

"Lana sold lot B for more than 90% of its purchase price."

Depends on how you interpret it .
If you interpret
and
If you interpret
Lana made more than 90% profit on purchased priced : answer is E .

Here we know Lana made more than 90% of its purchases price and that could be 91 92...anything . So answer has to be E.
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Director
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kevincan wrote:
Lana bought two lots last year and sold both of them yesterday. If the selling price of lot B was twice that of lot A, did Lana make a profit on the sale of these two lots?
(1) Lana sold lot A for 20% more than its purchase price.
(2) Lana sold lot B for more than 90% of its purchase price.

ashkrs wrote:

Let me clearify myself:
CP (A) = a
SP (A) = 1.2a
SP (B) = 2.4a
CP(B) = 2.4a/.9 = 8a/3
so the profit (losss) = SP - CP
= (1.2a + 2.4a) - (a + 8a/3)
= 3.6a - 11a/3
= (10.8a - 11a)/3
= - 0.2a/3

if we consider SP (B) as 92.31% of its CP, then there would be no loss no gain.

if SP (B) is > 92.31% of its purchase price, the profit is +ve. so the statements are insufficient and its E.
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Re: DS: Lana's Lots [#permalink]  01 Aug 2007, 23:49
kevincan wrote:
Lana bought two lots last year and sold both of them yesterday. If the selling price of lot B was twice that of lot A, did Lana make a profit on the sale of these two lots?

(1) Lana sold lot A for 20% more than its purchase price.
(2) Lana sold lot B for more than 90% of its purchase price.

Suppose the selling price of A was x. Then the selling price of B was 2x and the question can be rephrased as follows: Is the sum of the purchase prices of A and B less than 3x?

Neither is sufficient by itself: (1) says the purchase price of A is 5x/6, (2) says that the purchase price of B is less than 20x/9.
Together, (1) and (2) tell us that the sum of the purchase prices is less than 5x/6 + 20x/9 = 15x/18 + 40x/18 =55x/18 > 3x.
Thus Lana may or may not have made a profit.

OA=E
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I should go back to basic reading lessons

I completely missed 'for more than' in the second sentence.
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