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John sold 100 shares of stock for $96 per share. For half [#permalink]
31 Jan 2010, 13:29

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Difficulty:

45% (medium)

Question Stats:

60% (02:41) correct
40% (01:27) wrong based on 91 sessions

John sold 100 shares of stock for $96 per share. For half his shares, this represented a 20% profit; for the other half, this represented a 20% loss. What was the net gain or net loss on this sale of stock?

A. No loss or gain B. Gain of $400 C. Loss of $400 D. Gain of $800 E. Loss of $800

Re: What's the fastest way to asnwer this problem? [#permalink]
31 Jan 2010, 13:49

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Expert's post

GMATFIGHTER wrote:

John sold 100 shares of stock for $96 per share. For half his shares, this represented a 20% profit; for the other half, this represented a 20% loss. What was the net gain or net loss on this sale of stock?

A. No loss or gain B. Gain of $400 C. Loss of $400 D. Gain of $800 E. Loss of $800

Strange wording. Anyway:

Cost of the profitable stock: x=96/1.2=80, so profit from it 96-80=16. Total profit 50*16=800 Cost of the non-profitable stock: y=96/0.8=120, so loss from it 96-120=-24. Total loss 50*(-24)=-1200

Re: What's the fastest way to asnwer this problem? [#permalink]
31 Jan 2010, 13:53

GMATFIGHTER wrote:

John sold 100 shares of stock for $96 per share. For half his shares, this represented a 20% profit; for the other half, this represented a 20% loss. What was the net gain or net loss on this sale of stock?

a) No loss or gain

b) Gain of $400

c) Loss of $400

d) Gain of $800

e) Loss of $800

Would you guys please show me a short cut to answer this problem? A much faster approach would be appreciated! Thanks!

50 shares for 20 % loss and 50 share for 20 % profit.

For profit - > 96 = 120 % of x hence x = 80 , total profit = 50 x (96-80) = 50 x 16 For Loss - > 96 = 80 % of y hence y = 120, total loss = 50 x (120-96) = 50 x 24

Re: What's the fastest way to asnwer this problem? [#permalink]
31 Jan 2010, 22:48

GMATFIGHTER wrote:

John sold 100 shares of stock for $96 per share. For half his shares, this represented a 20% profit; for the other half, this represented a 20% loss. What was the net gain or net loss on this sale of stock?

a) No loss or gain

b) Gain of $400

c) Loss of $400

d) Gain of $800

e) Loss of $800

Would you guys please show me a short cut to answer this problem? A much faster approach would be appreciated! Thanks!

Total Selling Price = $9600

For 50 shares it is 20% profit and for other 50 it is 20% Loss.

Re: What's the fastest way to asnwer this problem? [#permalink]
14 Dec 2013, 13:14

Bunuel - apologies. But, I am struggling on this question from Veritas Arithmetic guide. See, Profit = S.P - C.P and after taking C.P as x for 1 item, I am not getting it right. Can you please explain? _________________

Re: What's the fastest way to asnwer this problem? [#permalink]
16 Dec 2013, 01:33

Expert's post

enigma123 wrote:

Bunuel - apologies. But, I am struggling on this question from Veritas Arithmetic guide. See, Profit = S.P - C.P and after taking C.P as x for 1 item, I am not getting it right. Can you please explain?

Can you please elaborate or show your work? Thank you. _________________

First of all, John sold ALL 100 shares of stock for $96 per share, not only 50 of them.

Next, cost (CP) of the profitable stock was 96/1.2 = $80 and the cost of the non-profitable stock was 96/0.8 = $120. Thus the profit was 50*(96-80) = $800 and the loss was 50*(120-96) = $1,200, which give s the overall loss of $400.

John sold 100 shares of stock for $96 per share. For half [#permalink]
14 Sep 2014, 07:56

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One will always have loss in such case;

Direct formula:

Total loss amount = \frac{2 X P^2}{(100^2 - P^2)

Total loss % = \frac{P^2}{100^2}

X = common sales price of two different items = in this case 96x50 P = % loss = % gain = in this case 20 _________________

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John sold 100 shares of stock for $96 per share. For half
[#permalink]
14 Sep 2014, 07:56