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60% (02:24) correct
40%
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The average marks of 3/7th of the entire class is 70% of the average marks of the entire class. What is the ratio of the average marks of the remaining students of class to that of the entire class?
A. 49:40
B. 38:35
C. 25:21
D. 15:11
E. 7:5
A. 49:40
B. 38:35
C. 25:21
D. 15:11
E. 7:5
29 Apr 2025, 01:22
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Bunuel
If the average marks of the entire class is 100 and the class has 7 students, we have:
Total marks of all students= 700
Average of 3 students = 70% of 100 ie 70
=> Total of 3 students = 210
=> Total of 4 remaining students = 700-210 = 490
=> Average = 490/4
=> Ratio = 490/4 : 100 = 49:40
Ans A
Alternative:
Deviation of 3 of the 7 students is -30% × 3 = -90%
So Deviation of 4 of the 7 students is +90%
=> Average deviation of each = +(90/4)%
=> Average score = 100+ 90/4 = (490/4)%
So ratio
= 490/4 : 100
= 49:40
Ans A
29 Apr 2025, 01:26
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Let total students be n, avg be a and avg contribution of 4/7th of class be x
Total marks = n*a
Equating total marks
3/7 * n * 7/10 *a + 4/7*n * x*a = n*a
3/10 + 4x/7 = 1
4x/7 = 7/10
x =49/40
Answer A
Total marks = n*a
Equating total marks
3/7 * n * 7/10 *a + 4/7*n * x*a = n*a
3/10 + 4x/7 = 1
4x/7 = 7/10
x =49/40
Answer A
Bunuel
