Read the following information carefully and answer the question that follows.

The information presents the attendance of adults and students at a science center over three days (Friday, Saturday, and Sunday). A total of 200 visitors attended the center across all three days. The number of adults who visited on Sunday is 60% of the number of students who visited on Friday. The number of students who visited on Sunday is 10 fewer than the number of students who visited on Friday. On Saturday, 40 adults and 50 students visited the center. The ratio of the total visitors on Sunday to Saturday is 3 : 5.

The entry ticket fee for a student is Rs 4 each, while the entry ticket fee for an adult is Rs x each. If the total revenue generated by the science center on Saturday is Rs 440, find the value of x.

The correct option is 6.

Given Data for Saturday:
Number of adults who visited on Saturday = 40
Number of students who visited on Saturday = 50
Entry ticket fee for a student = Rs 4
Total revenue generated on Saturday = Rs 440

Step 1: Calculate the revenue generated from student tickets on Saturday.

Revenue from students = (Number of students) × (Ticket fee per student)

$\text{Revenue from students}=50\times 4=200$

So, the revenue generated from students on Saturday is Rs 200.

Step 2: Calculate the revenue generated from adult tickets on Saturday.

Revenue from adults = (Total revenue on Saturday) - (Revenue from students on Saturday)

$\text{Revenue from adults}=440-200=240$

So, the revenue generated from adults on Saturday is Rs 240.

Step 3: Find the value of x (entry ticket fee for an adult).

Revenue from adults = (Number of adults) × (Ticket fee per adult)

$240=40\times x$

$x=\frac{240}{40}$

$x=6$

Thus, the value of x is 6.