Question

The below table shows the population of men and women (in ratio) for five cities. Study the below table carefully and answer the question that follows.

What is the difference between the total number of men of Mumbai and Pune together and number of women in Jabalpur and Bangalore together ?

• A. 760
• B. 747
• C. 572
• D. 910

Answer 1

Answer:

D. 910

To solve this problem step-by-step:

1. Total Men in Mumbai and Pune

• Mumbai (Population = $1547$, Ratio = $3 : 4$):

  
  

  $\text{Men in Mumbai} = 1547 \times \frac{3}{3 + 4} = 1547 \times \frac{3}{7} = 663$

• Pune (Population = $1818$, Ratio = $5 : 1$):

  
  

  $\text{Men in Pune} = 1818 \times \frac{5}{5 + 1} = 1818 \times \frac{5}{6} = 1515$

$\text{Total Men} = 663 + 1515 = 2178$

2. Total Women in Jabalpur and Bangalore

• Jabalpur (Population = $1089$, Ratio = $4 : 5$):

  $\text{Women in Jabalpur} = 1089 \times \frac{5}{4 + 5} = 1089 \times \frac{5}{9} = 605$

• Bangalore (Population = $1547$, Ratio = $4 : 3$):

  $\text{Women in Bangalore} = 1547 \times \frac{3}{4 + 3} = 1547 \times \frac{3}{7} = 663$

$\text{Total Women} = 605 + 663 = 1268$

3. Difference

$\text{Difference} = 2178 - 1268 = \mathbf{910}$

The difference between the total number of men in Mumbai and Pune together and the total number of women in Jabalpur and Bangalore together is 910.