It is currently 21 Oct 2017, 12:57

### 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 June
Open Detailed Calendar

# Raj played three rounds of a game of chance. In each round

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Joined: 02 Sep 2012
Posts: 5

Kudos [?]: 17 [4], given: 0

Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

15 Nov 2012, 23:02
4
KUDOS
10
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

72% (03:15) correct 28% (03:50) wrong based on 131 sessions

### HideShow timer Statistics

Raj played three rounds of a game of chance. In each round he doubled the amount with himself and then gave a certain amount to his friend. The amount he gave his friend in each round was a quarter of his gain in the first round. If he had instead given to his friend in each round an amount equal to half of his gain in the first round he would have finally remained with rs 70 less than he actually did. Find the amount he started with in rs?

A. 80
B. 160
C. 40
D. 60
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Nov 2012, 04:02, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 17 [4], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129150 [0], given: 12194

Re: Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

16 Nov 2012, 04:02
Expert's post
2
This post was
BOOKMARKED
siddharthamaridi wrote:
Raj played three rounds of a game of chance. In each round he doubled the amount with himself and then gave a certain amount to his friend. The amount he gave his friend in each round was a quarter of his gain in the first round. If he had instead given to his friend in each round an amount equal to half of his gain in the first round he would have finally remained with rs 70 less than he actually did. Find the amount he started with in rs?

A. 80
B. 160
C. 40
D. 60

Say Raj has x rs.

Case when he gives to his friend in each round a quarter of his gain in the first round:
The amount he has after the first round: $$2x-\frac{x}{4}=\frac{7x}{4}$$;
The amount he has after the second round: $$2*\frac{7x}{4}-\frac{x}{4}=\frac{13x}{4}$$;
The amount he has after the third round: $$2*\frac{13x}{4}-\frac{x}{4}=\frac{25x}{4}$$.

Case when he gives to his friend in each round half of his gain in the first round:
The amount he has after the first round: $$2x-\frac{x}{2}=\frac{3x}{2}$$;
The amount he has after the second round: $$2*\frac{3x}{2}-\frac{x}{2}=\frac{5x}{2}$$;
The amount he has after the third round: $$2*\frac{5x}{2}-\frac{x}{2}=\frac{9x}{2}$$.

We are told that the difference is 70, thus $$\frac{25x}{4}-\frac{9x}{2}=70$$ --> $$x=40$$.

_________________

Kudos [?]: 129150 [0], given: 12194

Senior Manager
Joined: 13 Aug 2012
Posts: 458

Kudos [?]: 541 [0], given: 11

Concentration: Marketing, Finance
GPA: 3.23
Re: Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

08 Dec 2012, 05:54
sometimes the wording of the questions confuse me

_________________

Impossible is nothing to God.

Kudos [?]: 541 [0], given: 11

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129150 [0], given: 12194

Re: Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

14 Aug 2013, 02:31
Bumping for review and further discussion.
_________________

Kudos [?]: 129150 [0], given: 12194

Intern
Joined: 11 Jul 2013
Posts: 35

Kudos [?]: 2 [0], given: 35

Re: Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

29 Sep 2014, 06:20
Bunuel wrote:
Bumping for review and further discussion.

this will be relatively easy if we chose 4x as the amount he starts with as we know that we want to give the quarter of the amount he won in the first round to his friend.

so
at start he has 4x

we doubled that in first round so now has 8x ( so he won 4x ) and quarter of that is x , this x is waht he gives to his friend ...so he is left with ( 4x + 4x -x) = 7x

after second round 14 x after third round 28 x ....and he gives x+x+x = 3x to his frnd so left with 25 x

second case when he gives double of what he won to his frnd

at start 4x

he doubles it to 8x ...so half of what he won he gives to his frnd i.e 2x so end of first round he is left with ........8x - 2x =6x

after second round he doubles to 12 x and then aftewr third 24 x ..but he gives 2x+2x+2x to his frnd so he is left with 24-6 = 18 x

now 25x-18 x = 70

x = 10

so initial amount = 40

Kudos [?]: 2 [0], given: 35

CEO
Joined: 17 Jul 2014
Posts: 2604

Kudos [?]: 395 [0], given: 184

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

25 Oct 2015, 10:10
indeed, the wording is a little bit confusing..started doing with algebra..but then said F.. it, let's try the numbers:
started with 160, did not provide the necessary outcome.

then picked 40
40*2 = 80 after 1st round, he gave 1/4 of 40 or 10, thus, he remained with 70
doubled, now he has 140, 10 gave to his friend, remained with 130
doubled, 260, minus 10, remains with 250

now,
40*2-20 = 60
double - 120 , gave 20, remained 100
double, 200, gave 20, remained 180

if we know for sure that he would have had 70 less RS, then 40 definitely works.

Kudos [?]: 395 [0], given: 184

Director
Joined: 12 Dec 2016
Posts: 897

Kudos [?]: 11 [0], given: 865

Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
Re: Raj played three rounds of a game of chance. In each round [#permalink]

### Show Tags

19 Apr 2017, 17:51
OMG, i spend too much time on this question. I did not read the question carefully, the amount given to the friend is not equal 1/4 or 1/2 the gain in the previous round.

It seems there is no other way, but to test each option choice.

Kudos [?]: 11 [0], given: 865

Re: Raj played three rounds of a game of chance. In each round   [#permalink] 19 Apr 2017, 17:51
Display posts from previous: Sort by

# Raj played three rounds of a game of chance. In each round

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.