The line graph shows the total number of people (male + female) who visited four different parks (A, B, C, and D). The table provides the fraction of males among the total visitors for each park.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756809168/aptidude_questions/qgelgwackkztwvlcarfp.png)
| Park | Fraction of Males |
|-------|------------------|
| A | $\frac{2}{3}$ |
| B | $\frac{5}{8}$ |
| C | $\frac{4}{7}$ |
| D | $\frac{3}{4}$ |

If the ticket ice for females is 20\% less than that for males and the total revenue collected by park D from all visitors is Rs 2280, what is the price of each ticket for a female visitor at park D?

Question

The line graph shows the total number of people (male + female) who visited four different parks (A, B, C, and D). The table provides the fraction of males among the total visitors for each park.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1756809168/aptidude_questions/qgelgwackkztwvlcarfp.png)
| Park  | Fraction of Males |
|-------|------------------|
| A      | $\frac{2}{3}$    |
| B     | $\frac{5}{8}$    |
| C    | $\frac{4}{7}$    |
| D    | $\frac{3}{4}$  |

If the ticket ice for females is 20\% less than that for males and the total revenue collected by park D from all visitors is Rs 2280, what is the price of each ticket for a female visitor at park D?

Accepted Answer

**Solution:**

1. From the data for park D:
   - Total visitors = 96
   - Fraction of males = $\frac{3}{4}$

2. Calculate the number of males and females:
   - Number of males = $96 	imes \frac{3}{4} = 72$
   - Number of females = $96 - 72 = 24$

3. Let the price of a male ticket be $x$ Rs.
   - Price of a female ticket = $x - 20\% 	ext{ of } x = 0.8x$

4. Total revenue from park D is Rs 2280:
   $$72 	imes x + 24 	imes 0.8x = 2280$$

5. Simplify the equation:
   $$72x + 19.2x = 2280$$
   $$91.2x = 2280$$

6. Solve for $x$:
   $$x = \frac{2280}{91.2} = 25 	ext{ Rs}$$

7. Price of female ticket:
   $$0.8 	imes 25 = 20 	ext{ Rs}$$

**Answer:** Rs 20

Answer

Answer

Answer

Answer