A class having three different sections P, Q and R with the students i

1.	A class having three different sections P, Q and R with the students in the ratio of 144 : 180 : 225 respectively and the marks scored by the classes is in the ratio of 45 : 51 : 36 then find the average of the whole class?1. 40.2782. 43.2783. 41.2784. 42.2785. 40.245
Answer» Correct Answer - Option 2 : 43.278 Given: The students in the ratio of 144 : 180 : 225 ----(1) The above ratio can also be written as, The students in the ratio of 16 : 20 : 25 ----(2) Marks scored by the classes is in the ratio of 45 : 51 : 36 ----(3) Assumption: We can solve this question by taking any assumed ratio. Let the assumed ratio be 40. Calculation: The first ratio is + 5 to 40 and of 16 students so we will multiply +5 * 16 = 80 ----(4) Second ratio is 51 which is +11 to 40 and number is 20 so we will multiply +11 * 20 = 220 ----(5) Third ratio is 36 which is -4 to 40 and number is 25 so we will multiply -4 * 25 = - 100 ----(6) Adding eq (4), eq (5) and eq (6) and dividing by total numbers. Deviation = (80 + 220 - 100)/61 Deviation = + 3.278 Adding this deviation to assumed average we get 43.278 average.

A class having three different sections P, Q and R with the students in the ratio of 144 : 180 : 225 respectively and the marks scored by the classes is in the ratio of 45 : 51 : 36 then find the average of the whole class?1. 40.2782. 43.2783. 41.2784. 42.2785. 40.245

Answer» Correct Answer - Option 2 : 43.278

Given:

The students in the ratio of 144 : 180 : 225 ----(1)

The above ratio can also be written as,

The students in the ratio of 16 : 20 : 25 ----(2)

Marks scored by the classes is in the ratio of 45 : 51 : 36 ----(3)

Assumption:

We can solve this question by taking any assumed ratio.

Let the assumed ratio be 40.

Calculation:

The first ratio is + 5 to 40 and of 16 students so we will multiply +5 * 16 = 80 ----(4)

Second ratio is 51 which is +11 to 40 and number is 20 so we will multiply +11 * 20 = 220 ----(5)

Third ratio is 36 which is -4 to 40 and number is 25 so we will multiply -4 * 25 = - 100 ----(6)

Adding eq (4), eq (5) and eq (6) and dividing by total numbers.

Deviation = (80 + 220 - 100)/61

Deviation = + 3.278

Adding this deviation to assumed average we get 43.278 average.