Question

What is the approximate ratio of 4 wheelers in Bangalore in the year 2005 to that in the year 2003?

• A. 7 : 5
• B. 9 : 5
• C. 8 : 5
• D. 6 : 5

Hint:

Compound Bangalore's 2001 base to 2003 and to 2005, then divide the two figures.

Answer 1

The Correct Option is A

Step 1: Find Bangalore's 4 wheelers in 2003.
Table 2 gives Bangalore's count in 2001 as 2.0 lakhs.
2002 count = 2.0 x (1 + 14/100) = 2.0 x 1.14 = 2.28 lakhs.
2003 count = 2.28 x (1 + 16/100) = 2.28 x 1.16 = 2.6448 lakhs.

Step 2: Find Bangalore's 4 wheelers in 2005.
2004 count = 2.6448 x (1 + 18/100) = 2.6448 x 1.18 = 3.120864 lakhs.
2005 count = 3.120864 x (1 + 19/100) = 3.120864 x 1.19 = 3.7138 lakhs approximately.

Step 3: Compute the ratio.
Ratio = 2005 count / 2003 count = 3.7138 / 2.6448 = 1.404 approximately.
1.404 is close to 7/5 = 1.4.

Final Answer:
The ratio of 2005 to 2003 counts is approximately 7 : 5. \[ \boxed{7 : 5} \]