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# Lana bought 2 stocks last year and sold both of them

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VP
Joined: 22 Nov 2007
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Lana bought 2 stocks last year and sold both of them [#permalink]  29 Dec 2007, 09:39
Lana bought 2 stocks last year and sold both of them yesterday. if the selling price of stock B was twice that of stock A, did Lana make a profit on the sale of these 2 stocks?

1. Lana sold stock A for 20% more than its purchase price
2. Lana sold stock B for more than 90% of its purchase price?
Senior Manager
Joined: 01 Sep 2006
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Location: Phoenix, AZ, USA
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Re: percents [#permalink]  29 Dec 2007, 10:10
marcodonzelli wrote:
Lana bought 2 stocks last year and sold both of them yesterday. if the selling price of stock B was twice that of stock A, did Lana make a profit on the sale of these 2 stocks?

1. Lana sold stock A for 20% more than its purchase price
2. Lana sold stock B for more than 90% of its purchase price?

let SP of A be 100 then SP o B is 200
Using (1) we know she made profit on A.

SP 120 CP100
SP100 CP=100*100/120=83.33
Profit of 16.66 on A
We donot know if she made profit or loss on B

Using (2) we know she made profi on B

SP 190 CP 100
SP 200 CP 200*100/190=105.xx SO pofit of about 95

We donot know if she made profit ot loss on A

VP
Joined: 22 Nov 2007
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Re: percents [#permalink]  29 Dec 2007, 10:21
OA is actually E

suppose the selling prices of A and B were s and 2s respectively. we need to know whether the sum of the purchase prices was less than 3s

1. s=1.2 pa, so pa=5s/6 not suff
2. 2s>0.9pb, so pb<20s/9

let's see C....pa+pb<5s>3s, so pa+pb may also be<3s
Re: percents   [#permalink] 29 Dec 2007, 10:21
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