aparnaharish
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
Let c, a, and s be the prices of the car in Canada, Australia, and Singapore, respectively, in 2000. Therefore, 4c, 5a and 7s are the prices of the car in Canada, Australia, and Singapore, respectively, in 2008. We can now create the equations:
c + 120 = 4c, a + 120 = 5a, and s + 120 = 7s.
Solving these equations, we have:
3c = 120 → c = 40, 4a = 120 → a = 30, and 6s = 120 → s = 20.
Therefore, in 2008, the price of the car is 4(40) = 160 in Canada, 5(30) = 150 in Australia, and 7(20) = 140 in Singapore. Thus the ratio of the prices is 160:150:140 or 16:15:14.
Answer: D