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In 1980 the government spent $12 billion for direct cash payments to

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Bunuel
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In 1980 the government spent $12 billion for direct cash payments to [#permalink] New post   08 Sep 2020, 02:30
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In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)

(A) $6 million
(B) $24 million
(C) $60 million
(D) $240 million
(E) $600 million
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Bunuel
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Re: In 1980 the government spent $12 billion for direct cash payments to [#permalink] New post   25 Mar 2024, 00:12
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Akioharu wrote:
In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)

(A) $6 million
(B) $24 million
(C) $60 million
(D) $240 million
(E) $600 million

Hi Bunuel,
the multiplier for 2000% is 21. so the answer is 4billion/7. but there is no "approximately" in the question.­

­The question does not say 2,000% more of the amount spent in 1956, it says 2,000% of the amount spent in 1956, so the multiplier is 20, not 21. For instance, replace 2,000% with, say, 10%, and it would be easier to grasp.
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Re: In 1980 the government spent $12 billion for direct cash payments to [#permalink] New post   08 Sep 2020, 02:37
In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)
Let the amount spent in 1956 be x

2000/100 X x = 12 X 10^9
x= (12 X 1000 X 10^8)/2000
= 6 X 10^8

=> the amount spent in 1956 is 600,000,000 i.e $600 million

OPTION E
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Re: In 1980 the government spent $12 billion for direct cash payments to [#permalink] New post   08 Sep 2020, 15:18
Bunuel wrote:
In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)

(A) $6 million
(B) $24 million
(C) $60 million
(D) $240 million
(E) $600 million


Let the amount spent in 1956 be x
As, 2000% of x could be written as 20x
Therefore, 20x= 12*10^9
=> 2x=12*10^8
=> x=6*10^8 or 600*10^6, i.e. 600 mln.

Therefore Option E is the correct answer.
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Re: In 1980 the government spent $12 billion for direct cash payments to [#permalink] New post   14 Mar 2024, 10:42
 
Bunuel wrote:
In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)

(A) $6 million
(B) $24 million
(C) $60 million
(D) $240 million
(E) $600 million

2000% represents ­\(12*10^9\) 
So, 100% represents ­\(\frac{12*10^9}{20*100} = \frac{12*10^9}{2*10^3} = 6^10^6\) , Answer will be (E)

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Re: In 1980 the government spent $12 billion for direct cash payments to [#permalink] New post   24 Mar 2024, 18:29
Hi Bunuel,
the multiplier for 2000% is 21. so the answer is 4billion/7. but there is no "approximately" in the question.­
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Re: In 1980 the government spent $12 billion for direct cash payments to [#permalink]
24 Mar 2024, 18:29
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