GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Nov 2018, 11:54

### GMAT Club Daily Prep

#### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
• ### The winning strategy for 700+ on the GMAT

November 20, 2018

November 20, 2018

06:00 PM EST

07:00 PM EST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# In a certain stock portfolio with 500 shares of different stocks, the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50670
In a certain stock portfolio with 500 shares of different stocks, the  [#permalink]

### Show Tags

25 Dec 2017, 23:18
00:00

Difficulty:

25% (medium)

Question Stats:

88% (01:55) correct 13% (02:42) wrong based on 31 sessions

### HideShow timer Statistics

In a certain stock portfolio with 500 shares of different stocks, the average (arithmetic mean) value of a share of the stocks is $11. If the value of a share of one of the stocks, of which the portfolio contains 300 shares, decreases by$1 what will be the average value of the stocks in the portfolio?

A. $17.30 B.$10.90
C. $10.83 D.$10.40
E. $9.80 _________________ examPAL Representative Joined: 07 Dec 2017 Posts: 799 Re: In a certain stock portfolio with 500 shares of different stocks, the [#permalink] ### Show Tags 26 Dec 2017, 00:45 1 1 Bunuel wrote: In a certain stock portfolio with 500 shares of different stocks, the average (arithmetic mean) value of a share of the stocks is$11. If the value of a share of one of the stocks, of which the portfolio contains 300 shares, decreases by $1 what will be the average value of the stocks in the portfolio? A.$17.30
B. $10.90 C.$10.83
D. $10.40 E.$9.80

This is a question involving a ratio (between portfolios) and a percent increase (in stock value).
We'll solve it using the logic of ratios, a Logical approach.

300/500 shares = 3/5 of the portfolio decreased by $1. Then we should expect the average price to decrease by 3/5 of$1 = $0.60 Our new price is 11 - 0.60 =$10.4
_________________

Halloween SALE at exmaPAL!

Save 25% on any GMAT/GRE course! Claim it today.

Intern
Joined: 14 Jun 2017
Posts: 22
Location: United States
GMAT 1: 710 Q48 V38
GPA: 2.8
Re: In a certain stock portfolio with 500 shares of different stocks, the  [#permalink]

### Show Tags

26 Dec 2017, 01:37
Bunuel wrote:
In a certain stock portfolio with 500 shares of different stocks, the average (arithmetic mean) value of a share of the stocks is $11. If the value of a share of one of the stocks, of which the portfolio contains 300 shares, decreases by$1 what will be the average value of the stocks in the portfolio?

A. $17.30 B.$10.90
C. $10.83 D.$10.40
E. $9.80 We have 500 shares with average of$11. So total portfolio value$$= 11*500= 5,500$$.
Value of 300 shares decreased by $1 so new portfolio value=$$5,500- 1*300= 5,200$$. New Average value of stocks= $$5,200/ 500= 10.40$$. Hence D. Intern Joined: 25 Nov 2017 Posts: 4 Re: In a certain stock portfolio with 500 shares of different stocks, the [#permalink] ### Show Tags 26 Dec 2017, 01:49 Mean 11 * 500=5500 New mean, 300*10+200*11=5200 5200/500= 10.4 And:d Sent from my ZUK Z2131 using GMAT Club Forum mobile app Manager Joined: 24 Nov 2016 Posts: 152 Re: In a certain stock portfolio with 500 shares of different stocks, the [#permalink] ### Show Tags 27 Dec 2017, 04:43 Bunuel wrote: In a certain stock portfolio with 500 shares of different stocks, the average (arithmetic mean) value of a share of the stocks is$11. If the value of a share of one of the stocks, of which the portfolio contains 300 shares, decreases by $1 what will be the average value of the stocks in the portfolio? A.$17.30
B. $10.90 C.$10.83
D. $10.40 E.$9.80

$$Average=\frac{Sum}{Quantity}$$

$$Average.Before=\frac{500*11}{500}=11$$

$$Average.After=\frac{500*11}{500}-\frac{300*1}{500}=11-\frac{3}{5}=10.40$$

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4230
Location: India
GPA: 3.5
Re: In a certain stock portfolio with 500 shares of different stocks, the  [#permalink]

### Show Tags

27 Dec 2017, 10:17
Bunuel wrote:
In a certain stock portfolio with 500 shares of different stocks, the average (arithmetic mean) value of a share of the stocks is $11. If the value of a share of one of the stocks, of which the portfolio contains 300 shares, decreases by$1 what will be the average value of the stocks in the portfolio?

A. $17.30 B.$10.90
C. $10.83 D.$10.40
E. $9.80 Total value of 500 shares is$ 5500

Since the value of 300 shares, decreases by $1, net decrease in value is -$ 300

So, The effective total value of 500 shares is \$ 5200

The average value of the stocks in the portfolio is = $$\frac{5200}{500}$$ = $$10.4$$

Answer will be (D) $$10.40$$
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: In a certain stock portfolio with 500 shares of different stocks, the &nbs [#permalink] 27 Dec 2017, 10:17
Display posts from previous: Sort by

# In a certain stock portfolio with 500 shares of different stocks, the

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.