Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

John sold 100 shares of stock for $96 per share. For half [#permalink]

Show Tags

31 Jan 2010, 14:29

3

This post received KUDOS

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

62% (02:39) correct
38% (01:26) wrong based on 326 sessions

HideShow timer Statistics

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

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]

Show Tags

31 Jan 2010, 14:53

1

This post received KUDOS

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]

Show Tags

31 Jan 2010, 23:48

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]

Show Tags

14 Dec 2013, 14:14

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?
_________________

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]

Show Tags

14 Sep 2014, 08:56

1

This post received KUDOS

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
_________________

Piyush K ----------------------- Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison Don't forget to press--> Kudos My Articles: 1. WOULD: when to use?| 2. All GMATPrep RCs (New) Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Re: John sold 100 shares of stock for $96 per share. For half [#permalink]

Show Tags

13 Dec 2015, 04:03

1

This post received KUDOS

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: John sold 100 shares of stock for $96 per share. For half [#permalink]

Show Tags

13 Dec 2015, 04:08

1

This post received KUDOS

Bluefalkon wrote:

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

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

Could you show a simple step by step for solving and then also show the most efficient method for solving?

50 shares for $96 gave 20% profit. This means Cost of each share = $80. Net cost of 50 shares = $4000

50 shares for $96 gave 20% loss. This means cost of each share = $120 Net cost of 50 shares = $6000

Total net cost = 6000 + 4000 = $10000 Total net seeing price = 96*100 = 9600

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

With the same selling price, if we have a profit of a% on one and a loss of a% on another, in all we always have a loss of (a^2/100)%. This is discussed in detail here: http://www.veritasprep.com/blog/2014/04 ... n-another/

Re: John sold 100 shares of stock for $96 per share. For half [#permalink]

Show Tags

29 Aug 2016, 08:36

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

Very tricky question, consider this question as A person sold the same product for 4800 and on one product he gained 20% and on another product he lost 20%. In such cases there will always be overall loss and never gain. So, you can use formula Loss = (2x^2s)/(100^2-x^2) where x = common profit/loss % s = Selling price

Applying the formula you will get Loss = 2*20*20*4800/(120*80) = 400
_________________

Re: John sold 100 shares of stock for $96 per share. For half [#permalink]

Show Tags

29 Aug 2016, 10:41

Meenakshi13 wrote:

The direct formula in such cases is : a+b+ab/100 where a and b are profit and loss. so here a=+20 and b =-20 +20-20+20(-20)/100=4%loss

Hi Meenakshi 13,

Because a and b are equal in the scenario I explained your formula will eventually become x^2/100 which is the formula for OVERALL LOSS %. The question asks for amount so we will use 2x^2s/(100^2-x^2)
_________________

Route to 700+

gmatclubot

Re: John sold 100 shares of stock for $96 per share. For half
[#permalink]
29 Aug 2016, 10:41

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...