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

E

1 : 8

Show Answer

Correct Answer :

Option D

1 : 9

1 : 9

Solution :

The correct option is 1 : 9.

From the given 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 total number of males and females who visited Park B:

Total males visited Park B=160×58=100

Total females visited Park B=160-100=60

Next, we find the number of local and outside people who visited Park B. The ratio of local to outside people is given as 7 : 1:

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

Total outside people=160×18=20

Now, we find the number of local and outside females who visited Park B. The ratio of local to outside females is given as 5 : 1:

Local females=60×55+1=60×56=50

Outside females=60×16=10

We can now determine the number of local and outside males who visited Park B:

Local males=Total local people-Local females=140-50=90

Outside males=Total outside people-Outside females=20-10=10

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

Ratio of outside to local males=10:90=1:9

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