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Aloysius spends 50% of his income on rent, utilities, and : Multiple-choice Questions — Select One Answer Choice

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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
sandy wrote:
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 income : 100

Rent m utilities = 50

Food = 20

Remaining = 100 - 50 - 20 =30

video games = 30*30% = 9

So, (30-9) = 21

The correct answer is B.
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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
To solve this problem, we can first calculate the total percentage of Aloysius’ income that he spends on rent, utilities, insurance, and food. This is 50% + 20% = 70%. This means that he has 100% - 70% = 30% of his income left after these expenditures. He then spends 30% of this remainder on video games, which is equal to 0.3 * 30% = 9%. Therefore, after all of the expenditures, Aloysius has 30% - 9% = 21% of his income left. So the correct answer is (B) 21%.
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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
1
The fractions involved are 1/2 (50%), 1/5 (20%) and 3/10 (30%)

The LCM of their denominators is 20.

Let Aloysius income be 20

1/2 on rent etc. = 10

1/5 on food = 4

What remains is 20 - 14 = 6

3/10 of 6 on video games = 3/10 x 6 = 1.8

What remains is 6 - 1.8 = 4.2

Fraction of Income Remaining = 4.2/20 = 2.1/10

Percent of Income Remaining = 2.1/10 X 100 = 21%

Answer is Choice B
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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
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