The number of students of class A and B decreased by 10% and 21% respectively If the total students of both the classes become 66 with an overall decrease of 14%, then find the number of students of class B A)21 B)22 C)23 D)24
Answers
Given : The number of students of class A and B decreased by 10% and 21% respectively
total students of both the classes 66
overall decrease of 14%,
To Find : the number of students of class B
21
22
23
24
Solution:
Students in class A = A
Students in class B = B
Total Students = A + B
The number of students of class A decreased by 10% = (10/100)A = 0.1A
Remaining students = A - 0.1A = 0.9A
The number of students of class B decreased by 21% = (21/100)B = 0.21B
Remaining students = B - 0.21B = 0.79B
overall decrease of 14% = (14/100)(A + B) = 0.14(A + B)
Remaining Total Students = A + B - 0.14(A + B) = 0.86(A + B)
0.86(A + B) = 0.9A + 0.79B
=> 0.04A = 0.07B
=> 4A = 7B
A + B = 66
=> 4A + 4B = 66 x 4
=> 7B + 4B = 66 x 4
=> 11B = 66 x 4
=> B = 24
A = 42 , B = 24
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