Question

In Kolkata, the number of 4 wheelers in the year 2004 is exactly 70% of the number of 4 wheelers in the year 2007. How many 4 wheelers were there in the year 2007 in the city?

• A. 2,44,320
• B. 2,66,200
• C. 2,12,460
• D. 2,56,210

Hint:

Build the 2004 figure from the 2001 base using the steady 10% rate, then divide by 0.70 for the 2007 figure.

Answer 1

The Correct Option is B

Step 1: Find Kolkata's 4 wheelers in 2004.
Table 2 gives Kolkata's count in 2001 as 1.4 lakhs.
Table 1 shows a constant 10% growth rate every year from 2002 to 2004.
2002 count = 1.4 x 1.10 = 1.54 lakhs.
2003 count = 1.54 x 1.10 = 1.694 lakhs.
2004 count = 1.694 x 1.10 = 1.8634 lakhs.

Step 2: Use the given relation to find the 2007 count.
The question states the 2004 count is exactly 70% of the 2007 count.
So 2007 count = 2004 count / 0.70 = 1.8634 / 0.70 = 2.662 lakhs.

Step 3: Convert to actual units.
2.662 x 1,00,000 = 2,66,200.

Final Answer:
Kolkata had 2,66,200 4 wheelers in 2007. \[ \boxed{2{,}66{,}200} \]