Question

40) After the cyclone, the students of XYZ School decided that each class
would contribute 1000 towards PM's RELIEF FUND to help the cyclone
victims. In class 8, 2/3rd of the class gave 20 each,1/6 th of the class gave 15
each, and the rest of the class gave 30 each. Find the total number of students.
What value is depicted through this act of students?​

Answer 1

Answer:

The students of Class VIII of a school donated Rs 2401 in all, for Prime Ministers National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class

Answer 2

The total number of students is 48.

The students depicted kindness in helping the people affected by the cyclone.

Given: The total amount to be contributed = Rs. 1000

In class 8, 2/3rd of the class gave 20 each, 1/6 th of the class gave 15 each, and the rest of the class gave 30 each.

To Find: The total number of students and the value that is depicted through this act of students.

Solution:

Let the number of students in class 8 be = x

It is said that 2/3rd of the class gave 20 each, 1/6 th of the class gave 15 each, and the rest of the class gave 30 each.

So, the remaining students = x - ( 2x/3 + x/6 )

                                             = x/6

The total amount contributed by 2/3rd of students = 20 × 2x/3

The total amount contributed by 1/6th of students = 15 × x/6

The total amount contributed by the remaining students = 30 × x/6

We know that each class contributes = Rs. 1000

So, framing an equation, we get;

     ( 20 × 2x/3 ) + ( 15 × x/6 ) + ( 30 × x/6 ) = 1000

 ⇒ ( 80x + 15x + 30x ) / 6 = 1000

 ⇒  125x = 6000

 ⇒ x = 48

Hence, the total number of students is 48.

The students depicted kindness in helping the people affected by the cyclone.

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