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

 It is currently 18 Nov 2018, 07:05

### 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.

### Show Tags

02 Nov 2017, 22:10
00:00

Difficulty:

25% (medium)

Question Stats:

84% (01:46) correct 16% (01:30) wrong based on 64 sessions

### HideShow timer Statistics

In a group of people solicited by a charity, 30 percent contributed $40 each, 45 percent contributed$20 each, and the rest contributed $12 each. What percentage of the total contributed came from people who gave$40?

(A) 25%
(B) 30%
(C) 40%
(D) 45%
(E) 50%

_________________
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
In a group of people solicited by a charity, 30 percent contributed $[#permalink] ### Show Tags 02 Nov 2017, 23:03 Bunuel wrote: In a group of people solicited by a charity, 30 percent contributed$40 each, 45 percent contributed $20 each, and the rest contributed$12 each. What percentage of the total contributed came from people who gave $40? (A) 25% (B) 30% (C) 40% (D) 45% (E) 50% Let the total number of people solicited by a charity be x If 30% contributed 40$ each, their contribution will be 0.3x * 40 = 12x
Similarly, as 45% contributed 20$each, their contribution will be 0.45x * 20 = 9x The remainder of the people contributed 12$ each.
The contribution of the remaining 0.25x will be 0.25x * 12 = 3x

Since the total contribution is 12x+9x+3x = 24x,

the percentage of those who contributed 40$each is $$\frac{12x}{24x}$$ or 50%(Option E) _________________ You've got what it takes, but it will take everything you've got Senior SC Moderator Joined: 22 May 2016 Posts: 2110 In a group of people solicited by a charity, 30 percent contributed$  [#permalink]

### Show Tags

03 Nov 2017, 09:04
Bunuel wrote:
In a group of people solicited by a charity, 30 percent contributed $40 each, 45 percent contributed$20 each, and the rest contributed $12 each. What percentage of the total contributed came from people who gave$40?

(A) 25%
(B) 30%
(C) 40%
(D) 45%
(E) 50%

Let the # of people = 100
30 percent = 30 persons gave $40 45 percent = 45 persons gave$20
= 75 of total 100 people
"The rest [of the people]" = 25 persons, who gave $12 Total donated: 30($40) + 45($20) + 25($12) =
($1,200 +$900 + $300) =$2,400

Percentage of the total contributed that came from people who gave $40 (the 30 people): $$\frac{1,200}{2,400} * 100 = 50$$ percent Answer E Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4222 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: In a group of people solicited by a charity, 30 percent contributed$  [#permalink]

### Show Tags

03 Nov 2017, 10:11
Bunuel wrote:
In a group of people solicited by a charity, 30 percent contributed $40 each, 45 percent contributed$20 each, and the rest contributed $12 each. What percentage of the total contributed came from people who gave$40?

(A) 25%
(B) 30%
(C) 40%
(D) 45%
(E) 50%

Let total population be 100

So, percentage of the total contributed came from people who gave $40 = $$\frac{30*40}{(30*40)+(45*20)+(12*25)}$$$$*100$$ = $$\frac{1200}{2400}$$ $$*100$$ = $$50$$% Answer will be (E) _________________ 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 ) Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4170 Location: United States (CA) Re: In a group of people solicited by a charity, 30 percent contributed$  [#permalink]

### Show Tags

06 Nov 2017, 17:00
Bunuel wrote:
In a group of people solicited by a charity, 30 percent contributed $40 each, 45 percent contributed$20 each, and the rest contributed $12 each. What percentage of the total contributed came from people who gave$40?

(A) 25%
(B) 30%
(C) 40%
(D) 45%
(E) 50%

We can create the following expression:

(0.3 x 40)/(0.3 x 40 + 0.45 x 20 + 0.25 x 12)

12/(12 + 9 + 3) = 12/24 = 1/2 = 50%

Alternate Solution:

Instead of using percentages, let’s consider the percentages as numbers of people. Thus, 30 people contributed $40 each, 45 people contributed$20 each, and 25 people contributed $12 each. Now let’s calculate the total amount contributed: 30(40) + 45(20) + 25(12) = 2400 Those contributing$40 each made a total contribution of 30(40) = 1200. Thus, their percentage of the total will be 1200/2400 x 100%, or 50%.

_________________

Scott Woodbury-Stewart
Founder and CEO

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