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In a class of 4B students, the average score in a mathematics test is 75. If the 10% of the students, based on their scores, are given an additional b
Question



 In a class of 4B students, the average score in a mathematics test is 75. If the 10% of the students, based on their scores, are given an additional bonus of B marks each, then the new average score for the entire class becomes 76. Find the value of B.

A.

10

B.

12

C.

15

D.

20

E.

25

Correct option is A


Initial sum of scores = 4B×75 = 300B
Increase in marks = 0.4B ×B = 0.4B²
ATQ,
300B + 0.4B² = 76×4B
B = 10

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