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:

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

Show Tags

15 Nov 2012, 23:02

4

This post received KUDOS

7

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

71% (04:14) correct
29% (03:55) wrong based on 118 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?

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 \(\frac{25x}{4}-\frac{9x}{2}=70\) --> \(x=40\).

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

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.

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.

gmatclubot

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

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...