The graph above shows the percentage of yearly income of the Samuel fa

Question

Improved version of this question is here.

12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

The graph above shows the percentage of yearly income of the Samuel family spent under various heads. That is, 24% of the income is spent on food, while 10% is spent on all other activities not listed and placed under miscellaneous expenditure.

From each drop down menu, select the option that creates the most accurate statement based on the graph above.

If the expenditure on clothing exceeds expenditure on fuel by $2,400, then the total expenditure (including Saving) done by Samuel family is

If Samuels were able to save 10% of the expenditure on food, the increase in savings would be

Show Spoiler

Attachment:

12 Days of Christmas 2.png [ 56.93 KiB | Viewed 7209 times ]

Submit Answer

Start the Timer above, select the dropdowns, and click "Submit" to add this question to your Error log.

Show Answer

Official Answer

Dropdown 1: 80,000 Dropdown 2: 20%

Kinshook · Answer

https://gmatclub.com/forum/download/file.php?id=73822

The graph above shows the percentage of yearly income of the Samuel family spent under various heads. That is, 24% of the income is spent on food, while 10% is spent on all other activities not listed and placed under miscellaneous expenditure.
 
From each drop down menu, select the option that creates the most accurate statement based on the graph above.

If the expenditure on clothing exceeds expenditure on fuel by $2,400, then the total expenditure done by Samuel family is  $80000

Let the total expenditure done by Samuel family be $x
11%x - 8%x = 2400
3%x = 2400; x = 2400/3% = 240000/3 = $80000
 The total expenditure done by Samuel family = $80000

If Samuels were able to save 10% of the expenditure on food, the increase in savings would be  20% 
10% of the expenditure on food = 10% *24% = 2.4%
 The increase in savings = 2.4%/12% = 20%

mayankdgmat · Answer

IMO answer is 80,000 and 20%

Let the total expenditure inc saving be  T

Expenditure on clothing is 11T/100

Expenditure on fuel is 8T/100

so, 11T=8T+2400*100

3T=240000

T= 80000

Now, 2nd part

Saving on food 10/100*24T/100 = 24T/1000

So new saving will be 12T/100+24T/1000 = 360T/1000 =36T/100

so increase in saving %= {(36-12)/12}*100 = 20%

Oppenheimer1945 · Answer

1) 0.11x-0.08x=0.03x=2400
=> x=2400/0.03=80000

2) Initial savings=x
 New Savings= 1.1x

increase in savings=0.1x
%increase =0.1x/x*100=10%

DG1989 · Answer

https://gmatclub.com/forum/download/file.php?id=73822

The graph above shows the percentage of yearly income of the Samuel family spent under various heads. That is, 24% of the income is spent on food, while 10% is spent on all other activities not listed and placed under miscellaneous expenditure.

From each drop down menu, select the option that creates the most accurate statement based on the graph above.

*** If the expenditure on clothing exceeds expenditure on fuel by $2,400, then the total expenditure (including Saving) 
done by Samuel family is ___________
*** If Samuels were able to save 10% of the expenditure on food, the increase in savings would be ____________

Solution:  Let total expenditure (including saving) = x
Expenditure on clothing = 11% of x = 0.11x
Expenditure on fuel = 8% of x = 0.08x
Given, 0.11x = 0.08x + 2400
0.03x = 2400
x = 80,000
  Hence, total expenditure (including Saving) done by Samuel family   =  80,000

Next, Expenditure on Food = 24% of 80,000 = 19,200
If 10% is saved from this amount, then amount that goes into savings = 10% of 19,200 = 1920

Original Savings = 12% of 80,000 = 9600
% increase in savings = 1920/9600 * 100 = 20%
Hence,   increase in savings   =  20%

rishikavats17 · Answer

Let Total Expenditure = T.

If the expenditure on clothing exceeds expenditure on fuel by $2,400, then the total expenditure (including Saving) done by Samuel family is

-> 11% of T - 8% of T = 2400
-> 3% of T = 2400
-> T = 80,000

If Samuels were able to save 10% of the expenditure on food, the increase in savings would be 
-> Exp. on food = 24% of 80,00
= 19,200
Now, 10% is saved so = 1,920

Savings = 12% of 80,000
= 9,600

Reqd increase = 1920/9600 *100 
= 20%.

lhg1709 · Answer

Clothing: 11%
Fuel: 8%
Difference: 11%-8%=3%

=> 3% = $2400 
=> 1% = $800
 => 100% = $80.000

Food: 24%
=> Decrease 10% => 2,4 %

Saving: $12 
=> Increase 2,4% => 2,4%/$12
 => Increase: 20%

jaysea · Answer

For the first option, we can calculate 0.11 * X - 0.08 * X= 2400, solving for X gives 80,000.
Knowing that food expense is 24%, saving 10% of that is 2.4% of total spend. Adding that to savings of 12% takes savings from 12% to 14.4%. 14.4% / 12 % = 20% increase.

VivekSri · Answer

Ans is 80000 and 20%

Posted from my mobile device

Githinji · Answer

clothing is 11% fuel is 8% difference is 3% 
3% is 2400.
100% is $80,000.
10% of 24% is 2.4%
increase will be 2.4%

Tracy_Dinh · Answer

The Samuel family's total expenditure: a
-> The expenditure on clothing = 11%*a = 0.11a
-> The expenditure on fuel = 8%*a = 0.08a
The expenditure on clothing exceeds expenditure on fuel by $2,400
-> 0.11a - 0.8a = 2400 -> 0.03a = 2400 -> a = 80000
-> the total expenditure (including Saving) done by Samuel family is  $80000

The expenditure on food = 24%*a = 0.24a
The saving = 12%*a = 0.12a
If Samuel family were able to save 10% of the expenditure on food 
-> The saving on food = 10%*0.24a = 0.024a
-> The increase in savings would be = 0.024a/0.12a = 0.2 =  20%

Catman · Answer

If the expenditure on clothing exceeds expenditure on fuel by $2,400, then the total expenditure (including Saving) done by Samuel family is 
 
Expenditure on Clothing= 11.00%
Expenditure on Fuel= 8.00%
Difference = 3.00% of Total expenditure (including saving) = $2400
 Total expenditure (including saving) = $80,000

If Samuels were able to save 10% of the expenditure on food, the increase in savings would be  
Expenditure on Fuel= 24.00%
Saving on Fuel= 10% *24.00 =2.4%
Earlier Saving= 12.00%
Increase in Saving = Saving on Fuel =2.4% 
 Increase in Saving = 2.4/12*100= 20%

Shwetamed · Answer

total expenditure (including Saving) done by Samuel family is 80,000
difference in expenditure on clothing and expenditure =3%=2400
let total=x
3/100 *x=2400
x=80000

the increase in savings would be 20%
money saved from food=10% of 24%=2.4%
increase in savings=2.4/12 *100 %=20%

Suboopc · Answer

Assuming that savings is also counted as expenditure,

From given information,
11%(Clothing)-8%(Fuel) = 3%

3% * x = 2400
x = 80000

i) 80000

10% of food = 10% * 24 = 2.4%
increase = 2.4/12 * 100 = 20%

ii) 20%

sanjitscorps18 · Answer

Clothing = 11%
Fuel = 8%
Let 'x' be the total

Now 3% of x = 2400
=> x =  $80000

Part B

If Samuels were able to save 10% of the expenditure on food,
=> expenditure on Food = 24% of 80000 = 19200
10% of $19200 = $1920

Total savings value = 12% of 80000 = 9600

If $1920 gets added to the savings the savings would increase by
100*($1920/$9600) = 100/5 =  20%

bv8562 · Answer

(1) If the expenditure on clothing exceeds expenditure on fuel by $2,400, then the total expenditure (including Saving) done by Samuel family is  80,000

Total income = x
Expenditure on clothing - expenditure on fuel = 2400
0.11x-0.08x = 2400
x = 80000

(2) If Samuels were able to save 10% of the expenditure on food, the increase in savings would be  20%

Expenditure on food = 0.24x = 19200
10% of 19200 = 1920
Total savings = 0.12x = 9600
Increase in savings = 1920/9600*100 = 20%

Bunuel · Answer

Improved version of this question is  here .

The graph above shows the percentage of yearly income of the Samuel fa

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Graphs and Tables (G&T) Questions

The graph above shows the percentage of yearly income of the Samuel fa

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards