Question Details

The following table shows the population (in hundreds) of five different cities (A, B, C, D and E) categorised by gender.

City Population Men : Women
A 2340 1 : 2
B 900 3 : 1
C 1510 3 : 2
D 2010 2 : 3
E 1750 4 : 3

What is the total number of women (in hundreds) in City A and City B?

Options

A

1998

B

1898

C

1658

D

1785

Show Answer

Correct Answer :

Option D

1785

Solution :

The correct answer is 1785.

We need to find the number of women (in hundreds) in City A and City B separately, then add them together.

Step 1: Women in City A

From the table:

Total population of City A = 2340 (in hundreds)

Men : Women ratio = 1 : 2

The total number of parts in the ratio = 1 + 2 = 3 parts

Women's share = 23 of the total population

Women in City A = 23×2340=1560

Step 2: Women in City B

From the table:

Total population of City B = 900 (in hundreds)

Men : Women ratio = 3 : 1

The total number of parts in the ratio = 3 + 1 = 4 parts

Women's share = 14 of the total population

Women in City B = 14×900=225

Step 3: Total Women in City A and City B

Total women = 1560+225=1785

Therefore, the total number of women (in hundreds) in City A and City B combined is 1785.

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