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
• A. 30,146
• B. 27,496
• C. 25,496
• D. 23,296
• A. 2,44,320
• B. 2,66,200
• C. 2,12,460
• D. 2,56,210
• A. 2,24,808
• B. 2,23,316
• C. 2,10,248
• D. 1,80,456
• A. 7 : 5
• B. 9 : 5
• C. 8 : 5
• D. 6 : 5

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. \[ \boxed{x = 97} \]

Answer 2

Step 1: Find Hyderabad's 4 wheelers in 2002.
Table 2 gives Hyderabad's count in 2001 as 1.6 lakhs.
Table 1 gives the 2002 growth rate as 12%.
2002 count = 1.6 x (1 + 12/100) = 1.6 x 1.12 = 1.792 lakhs.

Step 2: Find Hyderabad's 4 wheelers in 2003.
The 2003 growth rate is 13%.
2003 count = 1.792 x (1 + 13/100) = 1.792 x 1.13 = 2.02496 lakhs.

Step 3: Find the increase from 2002 to 2003.
Increase = 2.02496 minus 1.792 = 0.23296 lakhs.
Convert lakhs to units: 0.23296 x 1,00,000 = 23,296.

Final Answer:
Hyderabad had 23,296 more 4 wheelers in 2003 than in 2002. \[ \boxed{23{,}296} \]

Answer 3

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. \[ \boxed{2{,}66{,}200} \]

Answer 4

Step 1: Find Chennai's 4 wheelers in 2002.
Table 2 gives Chennai's count in 2001 as 1.7 lakhs.
Table 1 gives the 2002 growth rate as 14%.
2002 count = 1.7 x (1 + 14/100) = 1.7 x 1.14 = 1.938 lakhs.

Step 2: Find Chennai's 4 wheelers in 2003.
The 2003 growth rate is 16%.
2003 count = 1.938 x (1 + 16/100) = 1.938 x 1.16 = 2.24808 lakhs.

Step 3: Convert to actual units.
2.24808 x 1,00,000 = 2,24,808.

Final Answer:
Chennai had 2,24,808 4 wheelers in 2003. \[ \boxed{2{,}24{,}808} \]

Answer 5

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. \[ \boxed{7 : 5} \]