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Math Expert V
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The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200

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The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Price in 1927 = x
Price in 1957 = 4x.
Price in 1997 = 12x.

The price of the home in 1997 is 12x/x*100 = 1200 of the price in 1927.

E is the answer.
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Originally posted by Chethan92 on 23 Jan 2019, 02:08.
Last edited by Chethan92 on 23 Jan 2019, 19:37, edited 1 time in total.
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The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Bunuel wrote:
The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200

1927= x
1957 = 4x
1997 = 12x

12x/x * 100 = 1200
IMO E
SVP  V
Joined: 26 Mar 2013
Posts: 2345
The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Bunuel wrote:
The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200

Dear GMATPrepNow

Should not the word greater than means that we need to subtract 1927 price.i.e 1997 is 1100 greater than 1927.

We did the same in interpreting the question above

1997 was 200% greater than the price in 1957: means 1997 is 3 times 1957

1957 was 300% greater than the price in 1927: means 1957 is 4 times 1927

So 1997 is 1100% greater than 1927 whihc gives its final price 12 times 1927

What do you think??

Originally posted by Mo2men on 24 Jan 2019, 02:25.
Last edited by Mo2men on 24 Jan 2019, 03:30, edited 1 time in total.
Director  G
Joined: 09 Mar 2018
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Location: India
Re: The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Bunuel wrote:
The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200

Lets take cost of home in 1927 as 100

Cost of home in 1957 will be 100+300 = 400

Cost of home in 1997 will be 400+800 = 1200

Final Price/Initial Price * 100 = 1200

E
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Re: The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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I think the answer must be 1100 .
1200 is the percentage in terms of the initial price .
1100 is the percentage greater than the initial price .
Bunuel
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Re: The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Top Contributor
Bunuel wrote:
The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200

The price in 1957 was 300% greater than the price in 1927
Let's say the 1927 price was $100 So, the 1957 price =$100 + (300% of $100) =$100 + $300 =$400

The price of a home in 1997 was 200% greater than the price in 1957.
So, the 1997 price = $400 + (200% of$400)
= $400 +$800
= $1200 The price of the home in 1997 is what percent greater than the price of the home in 1927? In other words,$1200 is what percent greater than $100 Answer = (100)(1200 - 100)/100 = 1100% BUT Answer: .... ASIDE:$1200 is 1200% OF $100 Or we can say$1200 is 1100% GREATER THAN $100 Cheers, Brent _________________ SVP  V Joined: 26 Mar 2013 Posts: 2345 The price of a home in 1997 was 200% greater than the price in 1957. [#permalink] Show Tags GMATPrepNow wrote: The price in 1957 was 300% greater than the price in 1927 Let's say the 1927 price was$100
So, the 1957 price = $100 + (300% of$100)
= $100 +$300
= $400 The price of a home in 1997 was 200% greater than the price in 1957. So, the 1997 price =$400 + (200% of $400) =$400 + $800 =$1200

The price of the home in 1997 is what percent greater than the price of the home in 1927?
In other words, $1200 is what percent greater than$100

Answer = (100)(1200 - 100)/100 = 1100%
BUT

ASIDE: $1200 is 1200% OF$100
Or we can say $1200 is 1100% GREATER THAN$100

Cheers,
Brent

Dear GMATPrepNow

Thanks a lot for your reply. Director  V
Joined: 27 May 2012
Posts: 905
The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Bunuel wrote:
The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200

The question is asking for percentage increase.

Let value in 1927 be 100 then value in 1997 =1200

Percentage increase = $$\frac{Final\: value - Initial\: value }{Initial\; value }$$ * 100
Percentage increase = $$\frac{1200-100}{100}*100=1100%$$
Answer should be 1100%
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Re: The price of a home in 1997 was 200% greater than the price in 1957.  [#permalink]

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Bunuel I think the answer should be 1,100 as stated by some folks about. Please clarify.

Thanks!

Bunuel wrote:
The price of a home in 1997 was 200% greater than the price in 1957. The price in 1957 was 300% greater than the price in 1927. e price of the home in 1997 is what percent greater than the price of the home in 1927?

A 500
B 600
C 700
D 900
E 1,200 Re: The price of a home in 1997 was 200% greater than the price in 1957.   [#permalink] 21 Feb 2019, 13:37
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