GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Aloysius spends 50% of his income on rent, utilities, and
[#permalink]
02 Jun 2018, 03:41
02 Jun 2018, 03:41
Expert Reply
2
Bookmarks
00:00
Question Stats:
71% (00:54) correct
28% (00:42) wrong based on 88 sessions
Hide Show timer Statistics
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%
Re: Aloysius spends 50% of his income on rent, utilities, and
[#permalink]
03 Jun 2018, 08:23
03 Jun 2018, 08:23
1
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 = 100-70 = 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%
50% is spent on rent
20% is spent on food
Therefore, 70% is spent in total before anything is spent on video games.
Remaining = 100-70 = 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%
Re: Aloysius spends 50% of his income on rent, utilities, and
[#permalink]
11 Jul 2018, 15:49
11 Jul 2018, 15:49
Expert Reply
Explanation
The 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.
The 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.
