Question

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?

• A. 86
• B. 88
• C. 97
• D. 98

Hint:

Compound the 2001 base for both cities through 2002 and 2003 using the percentage table, then divide.

Answer 1

The Correct Option is C

Step 1: Find Mumbai's 4 wheelers in 2003.
Table 2 gives Mumbai's count in 2001 as 2.4 lakhs.
Table 1 gives the percentage increase over the previous year, so apply it year by year.
2002 count = 2.4 x (1 + 10/100) = 2.4 x 1.10 = 2.64 lakhs.
2003 count = 2.64 x (1 + 16/100) = 2.64 x 1.16 = 3.0624 lakhs.

Step 2: Find Delhi's 4 wheelers in 2003.
Delhi's count in 2001 is 2.2 lakhs.
2002 count = 2.2 x (1 + 20/100) = 2.2 x 1.20 = 2.64 lakhs.
2003 count = 2.64 x (1 + 20/100) = 2.64 x 1.20 = 3.168 lakhs.

Step 3: Compute x.
x% of Delhi's 2003 count equals Mumbai's 2003 count.
x = (Mumbai 2003 / Delhi 2003) x 100 = (3.0624 / 3.168) x 100.
x = 96.67, which rounds to 97.

Final Answer:
Mumbai's 2003 count is about 97% of Delhi's 2003 count. \[ \boxed{x = 97} \]