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The inflation index in Canada for the year 2008 relative to

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The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post Updated on: 20 Aug 2013, 12:32
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E

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Question Stats:

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The inflation index in Canada for the year 2008 relative to the year 2000 was 4, indicating that, the ratio of dollars spent for goods during the year 2000 to dollars spent for the same goods during the year 2008 is 1:4. Similarly, the inflation index in Australia for the year 2008 relative to the year 2000 was 5 and the inflation index in Singapore for the year 2008 relative to the year 2000 was 7. In all the three countries, the price of the Model AB-i car was $120 more in 2008 than in 2000. What was the ratio between the prices of the car in Canada, Australia and Singapore in the year 2008?

A. 4:5:7

B. 4:3:2

C. 1:1:1

D. 16:15:14

E. 14:15:17

Originally posted by aparnaharish on 20 Aug 2013, 12:13.
Last edited by Bunuel on 20 Aug 2013, 12:32, edited 1 time in total.
Added the OA.
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Re: The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post 20 Aug 2013, 12:36
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aparnaharish wrote:
The inflation index in Canada for the year 2008 relative to the year 2000 was 4, indicating that, the ratio of dollars spent for goods during the year 2000 to dollars spent for the same goods during the year 2008 is 1:4. Similarly, the inflation index in Australia for the year 2008 relative to the year 2000 was 5 and the inflation index in Singapore for the year 2008 relative to the year 2000 was 7. In all the three countries, the price of the Model AB-i car was $120 more in 2008 than in 2000. What was the ratio between the prices of the car in Canada, Australia and Singapore in the year 2008?

A. 4:5:7

B. 4:3:2

C. 1:1:1

D. 16:15:14

E. 14:15:17


canada:
car price in 2000:\(x\)
car price in 2008: \(4x\)
difference = \(3x = 120==>x=40\)
therefore car price in 2008 = \(4x = 160\)

australia:
car price in 2000: \(x\)
car price in 2008: \(5x\)
difference = \(4x = 120==>x=30\)
therefore car price in 2008 = \(5x = 150\)

singapore:
car price in 2000: \(x\)
car price in 2008: \(7x\)
difference = \(6x = 120==>x=20\)
therefore car price in 2008 = \(7x = 140\)

therefore ratio of car price = \(160:150:140\)
=\(16:15:14\)

hence D
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Re: The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post 21 Aug 2013, 04:04
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aparnaharish wrote:
The inflation index in Canada for the year 2008 relative to the year 2000 was 4, indicating that, the ratio of dollars spent for goods during the year 2000 to dollars spent for the same goods during the year 2008 is 1:4. Similarly, the inflation index in Australia for the year 2008 relative to the year 2000 was 5 and the inflation index in Singapore for the year 2008 relative to the year 2000 was 7. In all the three countries, the price of the Model AB-i car was $120 more in 2008 than in 2000. What was the ratio between the prices of the car in Canada, Australia and Singapore in the year 2008?

A. 4:5:7

B. 4:3:2

C. 1:1:1

D. 16:15:14

E. 14:15:17


Similar questions to practice:
the-inflation-index-for-the-year-1989-relative-to-the-year-144718.html
the-consumer-price-index-in-zeropia-in-2009-relative-to-the-142115.html

Hope this helps.
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Re: The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post 04 Sep 2013, 10:54
Canada
\(\frac{$ of goods during 2000}{$ of goods during 2008}\) = \(\frac{1}{4}\)

Australia
\(\frac{$ of goods during 2000}{$ of goods during 2008}\) = \(\frac{1}{5}\)

Singapore
\(\frac{$ of goods during 2000}{$ of goods during 2008}\) = \(\frac{1}{7}\)

Let the price of the car AB-i be x in the year 2000, then in the year 2008, the price of the car will be x+120

Now,\(\frac{x}{x+120}\)= \(\frac{1}{4}\)
\(4x\) \(=\) \(x+120\)
\(x = 40\)
so in the year 2008, the price of the car in Canada was 120+40 = 160

Similarly the other countries' cars prices can be taken out. Those come out to be 150 and 140 for Australia and Singapore respectively.

Putting them in ratio form
\(160:150:140 = 16:15:14\)
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Re: The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post 09 Nov 2016, 03:36
aparnaharish wrote:
The inflation index in Canada for the year 2008 relative to the year 2000 was 4, indicating that, the ratio of dollars spent for goods during the year 2000 to dollars spent for the same goods during the year 2008 is 1:4. Similarly, the inflation index in Australia for the year 2008 relative to the year 2000 was 5 and the inflation index in Singapore for the year 2008 relative to the year 2000 was 7. In all the three countries, the price of the Model AB-i car was $120 more in 2008 than in 2000. What was the ratio between the prices of the car in Canada, Australia and Singapore in the year 2008?

A. 4:5:7

B. 4:3:2

C. 1:1:1

D. 16:15:14

E. 14:15:17


120 is the difference between the 2008 and 2000 prices. If 2000 price in Canada was x, in Australia was y and in Singapore was z,

3x = 4y = 6z = 120
So x = 40, y = 30 and z = 20

Ratio of prices in Canada:Australia:Singapore = 4x:5y:7z = 160:150:140 = 16:15:14

Answer (D)
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Re: The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post 09 Nov 2016, 08:40
aparnaharish wrote:
The inflation index in Canada for the year 2008 relative to the year 2000 was 4, indicating that, the ratio of dollars spent for goods during the year 2000 to dollars spent for the same goods during the year 2008 is 1:4. Similarly, the inflation index in Australia for the year 2008 relative to the year 2000 was 5 and the inflation index in Singapore for the year 2008 relative to the year 2000 was 7. In all the three countries, the price of the Model AB-i car was $120 more in 2008 than in 2000. What was the ratio between the prices of the car in Canada, Australia and Singapore in the year 2008?

A. 4:5:7

B. 4:3:2

C. 1:1:1

D. 16:15:14

E. 14:15:17

Attachment:
Table.PNG
Table.PNG [ 3.34 KiB | Viewed 784 times ]


So, 3c = 4a = 6s = 120

Or, c = 40 , a = 30 & s = 20

So, the ratio between the prices of the car in Canada, Australia and Singapore in the year 2008 is -

4c : 5a : 7s = 160 : 150 : 140

Or, The required ratio is (D) 16:15:14

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Re: The inflation index in Canada for the year 2008 relative to  [#permalink]

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New post 23 Apr 2018, 04:40
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