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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%
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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%
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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%.
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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%
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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.
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Bunuel
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

Attachment:
The attachment 12 Days of Christmas 2.png is no longer available

Ans is 80000 and 20%

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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%
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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%
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Bunuel
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

Attachment:
12 Days of Christmas 2.png

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%
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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%
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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%
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Bunuel
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

Attachment:
12 Days of Christmas 2.png


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%
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(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%
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