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.

The correct answer is 1 : 9.

Let us break down the solution step-by-step using the data given in the line graph and the table:

Step 1: Find the total number of people who visited Park B
From the line graph, the total number of people (male + female) who visited Park B is represented by the point corresponding to B on the y-axis.

Looking at the y-axis, the value for Park B is exactly:
$\text{Total visitors in Park B}=\; 160$

Step 2: Calculate the number of males and females in Park B
From the table, the fraction of males out of the total visitors in Park B is:


$\text{Fraction of males}=\; 5/8$
Using this fraction, we calculate the number of males:
$\text{Number of males in Park B}=\; 160\; *\; (5/8)\; =\; 100$
The remaining visitors are female:
$\text{Number of females in Park B}=\; 160\; -\; 100\; =\; 60$

Step 3: Calculate the number of local and outside people in Park B
The ratio of local to outside people who visited Park B is given as 7 : 1.
Let the number of local people be $7x$ and outside people be $1x$.

$7x+1x=160$

$8x=160\Rightarrow x=20$
Therefore:
$\text{Total local people}=\; 7\; *\; 20\; =\; 140$
$\text{Total outside people}=\; 1\; *\; 20\; =\; 20$

Step 4: Calculate the number of local and outside females in Park B
The ratio of total local to outside females who visited Park B is given as 5 : 1.
Let the number of local females be $5y$ and outside females be $1y$.

$5y+1y=60$

$6y=60\Rightarrow y=10$
Therefore:
$\text{Local females}=\; 5\; *\; 10\; =\; 50$
$\text{Outside females}=\; 1\; *\; 10\; =\; 10$

Step 5: Calculate the number of local and outside males in Park B
We can find the number of local and outside males by subtracting the females from the total people in each category:

$\text{Local males}=\; \backslash text\{Total\; local\; people\}\; -\; \backslash text\{Local\; females\}$

$\text{Local males}=\; 140\; -\; 50\; =\; 90$
Similarly for outside males:

$\text{Outside males}=\; \backslash text\{Total\; outside\; people\}\; -\; \backslash text\{Outside\; females\}$

$\text{Outside males}=\; 20\; -\; 10\; =\; 10$

Step 6: Find the ratio of outside to local males visited Park B
The required ratio is:
$\text{Outside males}:\text{Local males}=10:90=1:9$