Question:medium

In the year 2003, the number of 4 wheelers in Mumbai is x% of the number of 4 wheelers in Delhi. What is the value of x?

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Compound the 2001 base for both cities through 2002 and 2003 using the percentage table, then divide.
Updated On: Jul 21, 2026
  • 86
  • 88
  • 97
  • 98
Show Solution

The Correct Option is C

Solution and Explanation

This question builds two years of compounded growth on top of the 2001 base figures, then compares the two cities.

For Mumbai, start with 2.4 lakhs in 2001. The 2002 growth rate from the table is 10%, so multiply by 1.10 to get 2.64 lakhs. The 2003 growth rate is 16%, so multiply 2.64 by 1.16, giving 3.0624 lakhs as Mumbai's 2003 figure.

For Delhi, start with 2.2 lakhs in 2001. The 2002 rate is 20%, so multiply by 1.20 to get 2.64 lakhs. The 2003 rate is also 20%, so multiply again by 1.20, giving 3.168 lakhs as Delhi's 2003 figure.

Now divide Mumbai's figure by Delhi's figure and convert to a percentage: $ (3.0624 / 3.168) \times 100 = 96.67 $, which rounds to 97.

The correct option is (c) 97.

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