Aloysius spends 50% of his income on rent, utilities, and insurance

Question

Aloysius spends 50% of his income on rent, utilities, and insurance, and 20% on food. If he spends 30% of the remainder on video games and has no other expenditures, what percent of his income is left after all of the expenditures?

(A) 30%
(B) 21%
(C) 20%
(D) 9%
(E) 0%

(A) 30% 
(B) 21% 
(C) 20% 
(D) 9% 
(E) 0%

EgmatQuantExpert · Answer

Solution

Given:  
 • Aloysius spends 50% of his income on rent, utilities, and insurance, and 20% on food
• He spends 30% of the remainder on video games

To find:  
 • What percent of his income is left after all of the expenditures

Approach and Working:   
 • Total expenditure on rent, utilities, insurance, and food = 50% + 20% = 70%
 o Therefore, remaining income = 30% 
• Spending on video games = 0.3 * 30 = 9%
 o Therefore, percentage of income left = 30% - 9% = 21%

Hence, the correct answer is option B.

Answer: B

anuj04 · Answer

Aloysius spends 50% of his income on rent, utilities, and insurance, and 20% on food. If he spends 30% of the remainder on video games and has no other expenditures, what percent of his income is left after all of the expenditures?
(A) 30% 
(B) 21% 
(C) 20% 
(D) 9% 
(E) 0%

Total money spent= 50% (rent, utilities, and insurance+ 20% (food) + (100-70)*30% on video games
=> 70%+9%= 79% is the total expenditure.
Therefore, percent of his income is left after all of the expenditures = 100%-79%= 21%

B is the answer.

sumitkrocks · Answer

Left income will be 70% of 30% =21% answer B

KSBGC · Answer

Let the total income be 100$
Rent,Utilities and insurance=50
Food=20
Remaining of the income=100-50-20=30
cost of video games=30*30%=9
Remaining income=30-9=21

So, Finally we have 21$ left.

Thus the best answer is B.

ScottTargetTestPrep · Answer

We can let the total income = n, thus:

0.5n + 0.2n + 0.3(0.3n) = 0.7n + 0.09n = 0.79n were spent on all of the expenditures. Therefore, we have 0.21n or 21% of his income left after all of the expenditures.

Alternate Solution:

He spends 50% + 20% + (30%)(30%) = 79% on expenditures. Thus, he has 100% - 79% = 21% of his income left after expenditures.

Answer: B

Aloysius spends 50% of his income on rent, utilities, and insurance

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Aloysius spends 50% of his income on rent, utilities, and insurance

Prep Toolkit

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