Question

Pareekh Jain, a first year student at IIM Bangalore, has taken 10 course, earning grade A (worth 4 points each), B (worth 3 points each) and C(worth 2 points
each). He does not receive any other grade. His grade point average (GPA) is 3.2, and if the GPA is calculated without taking into account the courses in which he
got a C, his GPA in the remaining courses would be 3. 333. How many B's did he get?​

Answer 1

Given :  Pareekh Jain, a first year student at IIM Bangalore, has taken 10 course, earning grade A (worth 4 points each), B (worth 3 points each) and C(worth 2 points  each). He does not receive any other grade. His grade point average (GPA) is 3.2,

GPA is calculated without taking into account the courses in which he  got a C, his GPA in the remaining courses would be 3. 333...

To find :  How many B's did he get

Solution:

10 Courses  Average GPA = 3.2

=> Total points in 10 Courses = 3.2  * 10  = 32

Let say in N subjects  he got C  

=> Point in N Subjects = 2N

Remaining Points = 32 - 2N

Remaining Courses  = 10 - N

New average = 3.333.....

=> 32 - 2N = (10 - N) * 3.333...

=>  32 - 2N = 33.333 - 3.333N

=> 1.333N = 1.3333

=> N = 1  

remaining Course  10 - 1  = 9

Score  = 32 - 2  = 30

Let say he got B grade in  x  courses

Then A grade in  9 - x  course

=> 4(9 - x) + 3x  =  30

=> 36 - 4x + 3x = 30

=> x  = 6

He got 6  B's

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