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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In a Mathematics exam. a student scored 30% marks in the first paper,

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Senior Manager  Joined: 30 Aug 2003
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Location: dallas , tx
In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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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%
VP  Joined: 30 Oct 2003
Posts: 1183
Location: NewJersey USA
In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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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 )
Target Test Prep Representative V
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Re: In a Mathematics exam. a student scored 30% marks in the first paper,  [#permalink]

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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

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

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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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How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) 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,  