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In a Mathematics exam. a student scored 30% marks in the first paper,

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In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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New post 09 Oct 2003, 09:14
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In a Mathematics exam. a student scored 30% marks in the first paper, out of a total of 180. How much should he score in second paper out of a total of 150 ,if he is to get an overall average of at least 50% ?

A. 70%
B. 74%
C. 76%
D. 80%
E. 82%
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In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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New post 02 Jan 2004, 19:28
Average = total score / number of tests

total score = 180 + 150 = 330
50% average = 330 * 0.5 = 165 ( he needs to score this )
He has scored 30% in the first test with 180 marks
so he has already scored 0.3 * 180 = 54
Now He needs to score 165-54 = 111 in the second test.
So the precentage = 111/150 = 74
( 0.74 * 150 = 74 * 1.5 = 74 + 74/2 = 74 + 37 = 111 )
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Re: In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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New post 02 Mar 2020, 06:09
shubhangi wrote:
In a Mathematics exam. a student scored 30% marks in the first paper, out of a total of 180. How much should he score in second paper out of a total of 150 ,if he is to get an overall average of at least 50% ?

A. 70%
B. 74%
C. 76%
D. 80%
E. 82%


We can create the equation:

0.3(180) + (n/100)(150) ≥ 0.5(330)

54 + 3n/2 ≥ 165

3n/2 ≥ 111

3n ≥ 222

n ≥ 74

Answer: B
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Re: In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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New post 02 Mar 2020, 07:09
shubhangi wrote:
In a Mathematics exam. a student scored 30% marks in the first paper, out of a total of 180. How much should he score in second paper out of a total of 150 ,if he is to get an overall average of at least 50% ?

A. 70%
B. 74%
C. 76%
D. 80%
E. 82%

An overall average of at least 50% is \(\frac{( 180 + 150 )}{2} = 165\)

Score in paper I is \(\frac{3}{10}*180 = 54\)

So he must score 165 - 54 = 111 in paper II out of 150

So his % score must be \(\frac{111}{150}*100\) = 74 %, Answer must be (B)
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Re: In a Mathematics exam. a student scored 30% marks in the first paper,   [#permalink] 02 Mar 2020, 07:09

In a Mathematics exam. a student scored 30% marks in the first paper,

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