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.

If there is discount of 20% on each ticket for females as compare to male and total revenue received by park D from all the people is Rs 2280, then find the price of each ticket for female.

The correct option is 20 Rs.

Step 1: Extract data for Park D from the given line graph and table.

From the line graph, the total number of people (male + female) who visited Park D is equal to 96.

From the table, the fraction of males out of the total people who visited Park D is:

Fraction of males for Park D = ³/₄

Step 2: Calculate the number of males and females who visited Park D.

Number of males = Total people × Fraction of males

Number of males = 96 × ³/₄ = 72

Number of females = Total people - Number of males

Number of females = 96 - 72 = 24

Step 3: Set up the equation for ticket prices and revenue.

Let the ticket price for a male be $x$ Rs.

Since there is a 20% discount on each ticket for females compared to males:

Ticket price for a female = $x-0.20x=0.80x$ Rs.

The total revenue received by Park D from all visitors is Rs 2280.

Total Revenue = (Number of males × Male ticket price) + (Number of females × Female ticket price)

$2280=72x+24\left(0.80x\right)$

$2280=72x+19.2x$

$2280=91.2x$

$x=\frac{2280}{91.2}=25$ Rs.

Step 4: Find the ticket price for each female.

Ticket price for female = $0.8025=20$ Rs.

Therefore, the price of each ticket for a female is 20 Rs.