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Aloysius spends 50% of his income on rent, utilities, and [#permalink]
02 Jun 2018, 03:41
Question Stats:
75% (00:40) correct
25% (00:41) wrong based on 24 sessions
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%
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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
03 Jun 2018, 08:23
Let us say Aloysius income is x then, 50% is spent on rent 20% is spent on food Therefore, 70% is spent in total before anything is spent on video games. Remaining = 10070 = 30%Out of this 30% is spent on video games Therefore, Final Remaining income = 70% of 0.30x = 0.30x * 0.70 = 0.21 or 21%
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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
11 Jul 2018, 15:49
ExplanationThe 50% spent on rent, utilities, and insurance and the 20% spent on food are both percents of the total, so sum the percents: 50% + 20% = 70%. After these expenditures, Aloysius has 30% left. He then spends 30% of the remaining 30% on video games. 30% of 30% = 0.30 × 0.30 = 0.09, or 9% of the total, so 30% – 9% = 21% of his income remains. Alternatively, use smart numbers. If Aloysius’s income is $100, he would spend $50 on rent, utilities, and insurance, and $20 on food, for a total of $70. Of his remaining $30, he would spend 30%, or $9, on video games, leaving $21, or 21%, of the original amount.
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Re: Aloysius spends 50% of his income on rent, utilities, and [#permalink]
20 Jul 2018, 09:43
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, (309) = 21 The correct answer is B.




Re: Aloysius spends 50% of his income on rent, utilities, and
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20 Jul 2018, 09:43





