Question:hard

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?

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Build the 2004 figure from the 2001 base using the steady 10% rate, then divide by 0.70 for the 2007 figure.
Updated On: Jul 21, 2026
  • 2,44,320
  • 2,66,200
  • 2,12,460
  • 2,56,210
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The Correct Option is B

Solution and Explanation

This problem gives a direct ratio between 2004 and 2007, so the 2007 figure does not need to be built up year by year through 2007; it is calculated backward from 2004.

First build the 2004 figure from the 2001 base of 1.4 lakhs using the steady 10% yearly rise shown in Table 1: $ 1.4 \times 1.10 \times 1.10 \times 1.10 = 1.8634 $ lakhs.

The question states that this 2004 figure is 70% of the 2007 figure. Writing this as an equation: $ 0.70 \times (2007 \text{ count}) = 1.8634 $.

Solving for the 2007 count: $ 2007 \text{ count} = 1.8634 / 0.70 = 2.662 $ lakhs.

Converting to actual units: $ 2.662 \times 100000 = 266200 $.

The correct option is (b) 2,66,200.

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