Question Details

The line graph given below shows total number of people (male + female) visited four different parks (A, B, C and D) and table shows fraction of male out of total people visited these four parks. Read the data carefully and answer the questions below.

The ratio local and outside people visited park B is 7 : 1 respectively, while the ratio of total local and outside females visited park B is 5 : 1 respectively. Find the ratio of outside to local males visited park B.

Options

A

1 : 5

B

3 : 7

C

1 : 7

D

1 : 9

Show Answer

Correct Answer :

Option D

1 : 9

1 : 9

Solution :

According to the line graph, the total number of people (male + female) who visited Park B is 160. From the table, the fraction of males out of the total people who visited Park B is 58.

First, we calculate the number of males and females who visited Park B:

Number of males = 160 × 58 = 100

Number of females = 160 - 100 = 60

Next, we use the given ratio of local to outside people visited Park B, which is 7 : 1:

Total local people = 160 × 77+1 = 160 × 78 = 140

Total outside people = 160 × 18 = 20

Similarly, using the ratio of local to outside females visited Park B, which is 5 : 1:

Local females = 60 × 55+1 = 60 × 56 = 50

Outside females = 60 × 16 = 10

Now, we can find the number of local and outside males who visited Park B:

Local males = \text{Total local people} - \text{Local females} = 140 - 50 = 90

Outside males = \text{Total outside people} - \text{Outside females} = 20 - 10 = 10

Finally, we find the ratio of outside to local males who visited Park B:

Required Ratio = 10 : 90 = 1 : 9

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