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John and Jack are among 10 students who write an examination. John scored 80 marks. The average score of the 8 students other than them is 72.5

Jack + John + (8 other student scores) = Avg * 10
Jack + 80 + 72.5 * 8 = Avg * 10
Jack + 80 + 580 = Avg * 10
Jack + 660 = Avg * 10
(Jack + 660)/10 = Avg ========== (a)

The average score of all the 10 students is one more than the average score of the 9 students other than John.

Avg = Avg(9) + 1
Avg = 1 + (Jack + 72.5 * 8)/9
Avg = (Jack + 580 + 9)/9 ========== (b)

Now considering (a) and (b)
(Jack + 580 - 9)/9 = (Jack + 660)/10
10 Jack + 589 * 10 = 9 Jack + 660 * 9
Jack = 660 * 9 - 589 * 10

The score of Jack is
Jack = 50

Option C
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John= 80 marks
(The average score of the 8 students other than them is 72.5)
(Sum of 8 students score/8) = 72.5
Sum of 8 students score = 72.5*8= 580 marks

The average score of all the 10 students is one more than the average score of the 9 students other than John.

Average score of 10 students= Average score of 9 students +1
((John+Jack+ Sum(8))/10) = ((Jack+ Sum(8))/9) +1
(80+Jack+580)/10 = (Jack+580+9)/9
(Jack+660)9= 10(Jack+589)
9 Jack+ 5,940 = 10 Jack + 5890
Jack= 5940-5890= 50

Answer: C
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Let scores of John be x and Jack be y
x = 80
Avg of 8 students = 72.5
Total score of 8 students = 72.5*8 =580

(580+y)/9 + 1= (580+80+y)/10
(589+y)*10 = (660+y)*9
y = 50
Bunuel
John and Jack are among 10 students who write an examination. John scored 80 marks. The average score of the 8 students other than them is 72.5. The average score of all the 10 students is one more than the average score of the 9 students other than John. The score of Jack is

A. 40
B. 45
C. 50
D. 55
E. 60


­
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