Comprehension
Study the following tables and answer the questions. Table 1 gives the percentage increase in the usage of 4 wheelers over the previous year for 2002 to 2006; Table 2 gives the usage in 2001 in lakhs.
City20022003200420052006
Bangalore1416181920
Chennai1416171818
Delhi2020222426
Hyderabad1213141618
Kolkata1010101010
Mumbai1016141618
CityIn lakhs
Bangalore2.0
Chennai1.7
Delhi2.2
Hyderabad1.6
Kolkata1.4
Mumbai2.4
Question: 1

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?

Show Hint

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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Question: 2

How many more 4 wheelers did the citizens of Hyderabad have during the year 2003 when compared to the previous year?

Show Hint

First find Hyderabad's 2002 count from the 2001 base, then apply the 2003 growth rate to get the increase.
Updated On: Jul 21, 2026
  • 30,146
  • 27,496
  • 25,496
  • 23,296
Show Solution

The Correct Option is D

Solution and Explanation

Instead of finding the 2002 and 2003 totals separately and then subtracting, this method isolates the 2003 growth amount directly.

First get the 2002 base: $ 1.6 \times 1.12 = 1.792 $ lakhs, since Table 1 shows a 12% rise from 2001 to 2002.

The increase from 2002 to 2003 equals the 2002 base multiplied by the 2003 growth rate, since that rate is applied on top of the 2002 figure. The 2003 rate is 13%, so the increase is $ 1.792 \times 0.13 = 0.23296 $ lakhs.

Convert this to actual units by multiplying by 1,00,000: $ 0.23296 \times 100000 = 23296 $.

The correct option is (d) 23,296.

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Question: 3

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?

Show Hint

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
Show Solution

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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Question: 4

How many 4 wheelers does the city Chennai have in the year 2003?

Show Hint

Apply the 2002 and 2003 growth rates in sequence to Chennai's 2001 base figure.
Updated On: Jul 21, 2026
  • 2,24,808
  • 2,23,316
  • 2,10,248
  • 1,80,456
Show Solution

The Correct Option is A

Solution and Explanation

This question needs only two compounding steps applied to Chennai's 2001 base figure.

Start with the 2001 figure of 1.7 lakhs from Table 2. Apply the 2002 rate of 14% from Table 1: $ 1.7 \times 1.14 = 1.938 $ lakhs.

Apply the 2003 rate of 16% to this new figure: $ 1.938 \times 1.16 = 2.24808 $ lakhs.

Convert lakhs to actual units by multiplying by 1,00,000: $ 2.24808 \times 100000 = 224808 $.

The correct option is (a) 2,24,808.

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Question: 5

What is the approximate ratio of 4 wheelers in Bangalore in the year 2005 to that in the year 2003?

Show Hint

Compound Bangalore's 2001 base to 2003 and to 2005, then divide the two figures.
Updated On: Jul 21, 2026
  • 7 : 5
  • 9 : 5
  • 8 : 5
  • 6 : 5
Show Solution

The Correct Option is A

Solution and Explanation

This question needs four compounding steps from the 2001 base, then a ratio comparison, so it helps to track the multiplying factor instead of recomputing from scratch each time.

Starting from 2.0 lakhs in 2001, the combined growth factor from 2001 to 2003 is $ 1.14 \times 1.16 = 1.3224 $, giving a 2003 figure of $ 2.0 \times 1.3224 = 2.6448 $ lakhs.

The combined growth factor from 2003 to 2005 is $ 1.18 \times 1.19 = 1.4042 $, since those are the 2004 and 2005 rates.

The ratio of the 2005 figure to the 2003 figure is exactly this second factor, because the 2003 figure cancels out: $ 2005 / 2003 = 1.4042 $.

Comparing 1.4042 to the answer choices, it is closest to $ 7/5 = 1.4 $.

The correct option is (a) 7 : 5.

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