There is total 80 students in a class. 40 Number of boys who are present in a class and Number of boys who are not present in class are 4 less than no. of girls who are not present in the class. If the no. of girls who are present in class are 66.66% more than the no. of girls who are not present in class, then find the total no. of girls in class.

Let's break down the information given step by step:

Step 1: Total number of students in the class is 80.

Step 2: Number of boys present in the class is given as 40.

Step 3: Number of boys not present in the class is 4 less than the number of girls not present in the class.

Step 4: Number of girls present in the class is 66.66% more than the number of girls not present in the class.

Now, let's solve the problem:

Step 1: Total number of students in the class is 80.

Step 2: Number of boys present in the class is given as 40.

Step 3: Number of boys not present in the class is 4 less than the number of girls not present in the class.

Let's assume the number of girls not present in the class is x. Therefore, the number of boys not present in the class would be x - 4.

Step 4: Number of girls present in the class is 66.66% more than the number of girls not present in the class.

66.66% more than x would be (66.66/100) * x.

Therefore, the number of girls present in the class would be x + (66.66/100) * x.

Now, we can set up an equation to solve for x:

Number of boys present (40) + Number of boys not present (x - 4) + Number of girls present (x + (66.66/100) * x) = Total number of students (80)

40 + (x - 4) + (x + (66.66/100) * x) = 80

Simplifying the equation:

40 + x - 4 + x + (66.66/100) * x = 80

Combining like terms:

2x + (66.66/100) * x = 80 - 40 + 4

Simplifying further:

2x + (66.66/100) * x = 44

Converting the percentage to decimal:

2x + 0.6666x = 44

Combining like terms:

2.6666x = 44

Dividing both sides by 2.6666:

x = 44 / 2.6666

Calculating the value of x:

x ≈ 16.5

Therefore, the number of girls not present in the class is approximately 16.5.

Step 5: Finding the total number of girls in the class.

The total number of girls in the class would be the sum of the number of girls present and the number of girls not present:

Total number of girls = Number of girls present + Number of girls not present

Total number of girls = x + (66.66/100) * x

Total number of girls = 16.5 + (66.66/100) * 16.5

Calculating the value:

Total number of girls ≈ 16.5 + (0.6666) * 16.5

Total number of girls ≈ 16.5 + 11

Total number of girls ≈ 27.5

Therefore, the total number of girls in the class is approximately 27.5.