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

 It is currently 20 Aug 2018, 02:07

### 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

# Mike, Sarah and David decided to club together to buy a present. Each

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 48044
Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

30 Dec 2014, 07:55
00:00

Difficulty:

65% (hard)

Question Stats:

53% (01:09) correct 47% (00:54) wrong based on 118 sessions

### HideShow timer Statistics

Tough and Tricky questions: Word Problems.

Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

Kudos for a correct solution.

_________________
Manager
Joined: 22 Oct 2014
Posts: 88
Concentration: General Management, Sustainability
GMAT 1: 770 Q50 V45
GPA: 3.8
WE: General Management (Consulting)
Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

30 Dec 2014, 08:43

We know that Sarah negotiated a discount of 20%, so each of them paid $4 less. Since there are three people, the 20% of the original price amounts to$12. 5 times 12$is 60$, so the original price, before Sarah negotiated the discount, had been $60. They paid$12 less than the base price, so they spent $48. _________________ $$\sqrt{-1}$$ $$2^3$$ $$\Sigma$$ $$\pi$$ ... and it was delicious! Please consider giving +1 Kudos if deserved! SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1835 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: Mike, Sarah and David decided to club together to buy a present. Each [#permalink] ### Show Tags 30 Dec 2014, 20:43 1 Answer = C. 48 .......................... Mike .................. Sarah ................ David .............. Total Initial Contr............ x .......................... x ................... x ....................... 3x 4 discount ........... x-4 ........................... x-4 ................ x-4 .................. $$\frac{80}{100} * 3x$$ (20% discount) Setting up the equation $$3x-12 = 3x * \frac{4}{5}$$ x = 20 x - 4 = 16 3(x-4) = 16*3 = 48 _________________ Kindly press "+1 Kudos" to appreciate Manager Joined: 20 Feb 2013 Posts: 76 Location: India GMAT 1: 690 Q49 V34 WE: Information Technology (Computer Software) Re: Mike, Sarah and David decided to club together to buy a present. Each [#permalink] ### Show Tags 30 Dec 2014, 22:56 20 % = 4 * 3 = 12 Gift Cost = 80 % = 4 * 12 = 48 Answer C _________________ If my post is helpful/correct, consider giving Kudos.. Manager Joined: 21 Aug 2010 Posts: 176 Location: United States GMAT 1: 700 Q49 V35 Re: Mike, Sarah and David decided to club together to buy a present. Each [#permalink] ### Show Tags 31 Dec 2014, 14:18 Bunuel wrote: Tough and Tricky questions: Word Problems. Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present? A. 20 B. 36 C. 48 D. 60 E. 72 Kudos for a correct solution. Original Price x = 100% Discount d = 20% Final Price = 80% Each of them saved 20% of what they had which is equal to$4 each. So total saving = 12$(20%) so 80% equal to 4*12 =$48

C
_________________

-------------------------------------

Manager
Joined: 13 Oct 2013
Posts: 131
Concentration: Strategy, Entrepreneurship
Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

31 Dec 2014, 15:19
1
say each of them contributed x
so initial price p = 3x
after 20% discount , they each paid 4 dollars less
so 3x-12=4/5*P=4/5*3x
after solving we get x=20
so they paid for the present after discount=3x-12=3*20-12=48

_________________

---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way

Intern
Joined: 14 Jun 2013
Posts: 28
Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

01 Jan 2015, 05:05
1
Let the original price of the present be 3X..(considering initial contribution per person as x)
20% discount => 3X - 3X/5 = 12X/5

now if everyone of them had to pay $4 less, then total final discounted price will be 3X - 12 3X- 12 = 12X/5 X= 20 Hence finally after discount the price will be$48 (3*20 - 12)

ANS: C
Math Expert
Joined: 02 Sep 2009
Posts: 48044
Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

08 Jan 2015, 09:21
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

Kudos for a correct solution.

OFFICIAL SOLUTION:

(C) If each of them paid 4 dollars less then together they paid 12 dollars less which is 20% of original price.0.2 × original price = 12original price = 12 / 0.2 = 6 / (1/10) = 6 × 10 = 60

Remember that they paid discounted price which is 12 dollars less. 60 – 12 = 48.

_________________
Manager
Joined: 27 Oct 2013
Posts: 232
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

09 Jan 2015, 02:26
Here we go...

Let the prize of the gift = x
Discounted prixe = 0.8x

Each one has paid 4 dollars less----> total 3*4 = 12

So

x - 0.8x = 12

x = 60

prize they paid = 0.8 * 60 = 48
Board of Directors
Joined: 17 Jul 2014
Posts: 2717
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

08 Jan 2016, 19:43
oh yeah, that is some bad boy here!!!
x-12=0.8x
0.2x=12
x=60.

now, 20% discount -> 60*0.8=48.

C.

almost made me think of 60 as the answer choice. ai ai ai!!!
Senior Manager
Joined: 31 Oct 2013
Posts: 479
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

### Show Tags

23 Jul 2018, 00:29
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

Kudos for a correct solution.

Note: each of them saved 4 dollar.

Total discount = 4*3 = 12.

Discount is basically a portion of your selling price that u don't need to pay. Let say selling price was 100 and after discount the price became 80. so, 20 was part of 100. 80% selling price was charged.

12 is 20% of sp.

20% represent 12

1% represents 12 /20

80% represents (12 /20)*80 = 48

Mike, Sarah and David decided to club together to buy a present. Each &nbs [#permalink] 23 Jul 2018, 00:29
Display posts from previous: Sort by

# Events & Promotions

 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®.