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 oftotal people visited
these four parks. Read the data carefully and answer the questions below.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756809158/aptidude_questions/xcwihlb86fhoofch5aib.png)

| Park | Fraction of Males |
|-------|------------------|
| A | $\frac{2}{3}$ |
| B | $\frac{5}{8}$ |
| C | $\frac{4}{7}$ |
| D | $\frac{3}{4}$ |

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.

Question

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 oftotal people visited
these four parks. Read the data carefully and answer the questions below.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756809158/aptidude_questions/xcwihlb86fhoofch5aib.png)

| Park  | Fraction of Males |
|-------|------------------|
| A      | $\frac{2}{3}$    |
| B     | $\frac{5}{8}$    |
| C    | $\frac{4}{7}$    |
| D    | $\frac{3}{4}$  |

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.

Accepted Answer

**Solution:**

1. Total visitors at park B = 160.

2. Fraction of males = $\frac{5}{8}$, so number of males = $160 	imes \frac{5}{8} = 100$.

3. Number of females = Total visitors - Males = $160 - 100 = 60$.

4. Ratio of local to outside visitors = 7 : 1.
   - Total parts = 7 + 1 = 8.
   - Local visitors = $160 	imes \frac{7}{8} = 140$.
   - Outside visitors = $160 	imes \frac{1}{8} = 20$.

5. Ratio of local females to outside females = 5 : 1.
   - Total female parts = 5 + 1 = 6.
   - Local females = $60 	imes \frac{5}{6} = 50$.
   - Outside females = $60 	imes \frac{1}{6} = 10$.

6. Calculate males in each category:
   - Local males = Local visitors - Local females = $140 - 50 = 90$.
   - Outside males = Outside visitors - Outside females = $20 - 10 = 10$.

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

**Answer:** 1 : 9

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