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The average mark of 70 students in a class is 80. Out of these 70 stud

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
The average mark of 70 students in a class is 80. Out of these 70 stud  [#permalink]

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20 Feb 2019, 05:27
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:41) correct 30% (01:37) wrong based on 27 sessions

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The average mark of 70 students in a class is 80. Out of these 70 students, if the average mark of 40 students is 75, what is the average mark of the remaining 30 students rounded to the nearest integer?

A. 44
B. 58
C. 71
D. 86
E. 87

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Joined: 13 Oct 2018
Posts: 85
Location: India
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Re: The average mark of 70 students in a class is 80. Out of these 70 stud  [#permalink]

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20 Feb 2019, 05:35

reduction in.marks by 40 = 40*5 ( difference between the total avg and the avg of these 40)

same reduction should be compensated by the rest 30 to have the avg of 80

so the 30 should have avg (80+ (200/30))
which gives 86.66
nearest one is 87.

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Re: The average mark of 70 students in a class is 80. Out of these 70 stud  [#permalink]

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20 Feb 2019, 08:47
Bunuel wrote:
The average mark of 70 students in a class is 80. Out of these 70 students, if the average mark of 40 students is 75, what is the average mark of the remaining 30 students rounded to the nearest integer?

A. 44
B. 58
C. 71
D. 86
E. 87

total sum ; 80*70 = 5600
and score sum of 40 students = 3000
score sum of 30 students= 2600
avg . 87
IMO E
Re: The average mark of 70 students in a class is 80. Out of these 70 stud   [#permalink] 20 Feb 2019, 08:47
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