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

 It is currently 21 Feb 2019, 08:00

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# Upon winning the lottery, John spent 13 of his winnings on a home and

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53063
Upon winning the lottery, John spent 13 of his winnings on a home and  [#permalink]

### Show Tags

22 Jan 2019, 23:49
00:00

Difficulty:

45% (medium)

Question Stats:

54% (01:37) correct 46% (01:32) wrong based on 29 sessions

### HideShow timer Statistics

Upon winning the lottery, John spent 1/3 of his winnings on a home and 1/4 of the remaining amount on a car. After these purchases, he had \$200,000 left. How much money did John win in the lottery?

A 400,000

B 480,000

C 600,000

D 800,000

E 2,400,000

_________________
VP
Joined: 31 Oct 2013
Posts: 1157
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Upon winning the lottery, John spent 13 of his winnings on a home and  [#permalink]

### Show Tags

23 Jan 2019, 00:23
Bunuel wrote:
Upon winning the lottery, John spent 1/3 of his winnings on a home and 1/4 of the remaining amount on a car. After these purchases, he had \$200,000 left. How much money did John win in the lottery?

A 400,000

B 480,000

C 600,000

D 800,000

E 2,400,000

lottery amount = x

cost of home = x/3

remaining = 2x/3

cost of car = 2x/3 * 1/4 = x/6.

remaining = 2x/3 - x/6 = 3x/6.

3x/6 = 200000

x= 400000.

SVP
Joined: 18 Aug 2017
Posts: 1894
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Upon winning the lottery, John spent 13 of his winnings on a home and  [#permalink]

### Show Tags

23 Jan 2019, 04:20
Bunuel wrote:
Upon winning the lottery, John spent 1/3 of his winnings on a home and 1/4 of the remaining amount on a car. After these purchases, he had \$200,000 left. How much money did John win in the lottery?

A 400,000

B 480,000

C 600,000

D 800,000

E 2,400,000

x be total amount
eqn
x/3 + x/6 = 2* 10^5

x= 4* 10^5
IMOA
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4944
Location: United States (CA)
Re: Upon winning the lottery, John spent 13 of his winnings on a home and  [#permalink]

### Show Tags

27 Jan 2019, 10:04
Bunuel wrote:
Upon winning the lottery, John spent 1/3 of his winnings on a home and 1/4 of the remaining amount on a car. After these purchases, he had \$200,000 left. How much money did John win in the lottery?

A 400,000

B 480,000

C 600,000

D 800,000

E 2,400,000

We can let n = the amount of money he won and create the equation:

n/3 + (1/4)(n - n/3) + 200,000 = n

n/3 - (1/4)(2n/3) + 200,000 = n

Multiplying the entire by 12, we have:

4n + 2n + 2,400,000 = 12n

2,400,000 = 6n

400,000 = n

Alternate Solution:

After spending 1/3 of the money, he is left with 2/3 of the prize and after spending 1/4 of this amount, he is left with 2/3 x 3/4 = 2/4 = 1/2; i.e. half of the prize money. If the remaining amount of 200,000 is half of what he had to begin with, then he won 200,000 x 2 = \$400,000.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Upon winning the lottery, John spent 13 of his winnings on a home and   [#permalink] 27 Jan 2019, 10:04
Display posts from previous: Sort by