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# Lily scored 50% of the maximum marks in an exam and yet failed by 12

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Math Expert
Joined: 02 Sep 2009
Posts: 62456
Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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16 Jan 2020, 02:16
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Difficulty:

75% (hard)

Question Stats:

72% (01:37) correct 28% (01:32) wrong based on 71 sessions

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Lily scored 50% of the maximum marks in an exam and yet failed by 12 marks. Had she scored 10% more than what he scored, she would have just got passing marks. What is the maximum marks of the exam?

A. 100
B. 120
C. 180
D. 200
E. 240

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Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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16 Jan 2020, 05:44
.5x+12=.5x*1.1
x= 240
IMO E

Bunuel wrote:
Lily scored 50% of the maximum marks in an exam and yet failed by 12 marks. Had she scored 10% more than what he scored, she would have just got passing marks. What is the maximum marks of the exam?

A. 100
B. 120
C. 180
D. 200
E. 240
Intern
Joined: 16 Oct 2018
Posts: 33
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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17 Jan 2020, 11:16
Let maximum marks be x

Lily got 0.5x (50% of max marks)

Given: she failed by 12 marks and had she got 10% more than what she got, she wouldve passed.

Equation:

0.5x*0.1 = 12
0.5x = 12/0.1
x = 120/0.5

x= 240

Hence maximum marks = 240

Intern
Joined: 18 Jun 2019
Posts: 2
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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19 Jan 2020, 14:12
For me, it seems that the right asnwer is B.

Given: Lily failed while got 50% of the mark. She needs 10% more or 12 points.
So, 12 points = 10%, and 120 points = 100%

Try to check: Lily scored 60 points (50% 0f 120) and she needs to get 72 points (60% of 120) for passing an exam.

Could you please show me my mistake?

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Location: India
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Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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19 Jan 2020, 20:44
1
Bunuel wrote:
Lily scored 50% of the maximum marks in an exam and yet failed by 12 marks. Had she scored 10% more than what he scored, she would have just got passing marks. What is the maximum marks of the exam?

A. 100
B. 120
C. 180
D. 200
E. 240

Let maximum marks be x
Lily scored 50% of the maximum marks in an exam and yet failed by 12 marks
Passing marks = (x/2) + 12----(i)

Had she scored 10% more than what he scored, she would have just got passing marks
Passing marks = 1.1(x/2)----(ii)

(x/2) + 12 = 1.1(x/2)
x = 240

E is correct.
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Manager
Joined: 14 Sep 2019
Posts: 220
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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19 Jan 2020, 22:48
Let the maximum marks be x

50% of x + 12 = 10% more than what he scored. ( He scored 50% of x = ½*x)
½*x +12 = 110/100 * ½*x
½*x +12 = 11/10* ½*x
11*x/20 – ½*x = 12
x/20 = 12
x = 240(E)
Intern
Joined: 03 Sep 2018
Posts: 6
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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25 Jan 2020, 02:57
BvR wrote:
For me, it seems that the right asnwer is B.

Given: Lily failed while got 50% of the mark. She needs 10% more or 12 points.
So, 12 points = 10%, and 120 points = 100%

Try to check: Lily scored 60 points (50% 0f 120) and she needs to get 72 points (60% of 120) for passing an exam.

Could you please show me my mistake?

Posted from my mobile device

10% of 50%.... Not 10%0 of total marks... Hope it helps ?
Manager
Joined: 15 Jul 2018
Posts: 238
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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25 Jan 2020, 03:30
Hey Bunuel,Answer should be Option E

Posted from my mobile device
Intern
Joined: 18 Nov 2019
Posts: 1
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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26 Jan 2020, 10:36
BvR wrote:
For me, it seems that the right asnwer is B.

Given: Lily failed while got 50% of the mark. She needs 10% more or 12 points.
So, 12 points = 10%, and 120 points = 100%

Try to check: Lily scored 60 points (50% 0f 120) and she needs to get 72 points (60% of 120) for passing an exam.

Could you please show me my mistake?

it is not correct because the question states that she had to take an additional 10% of her grade to pass the exam and not an additional 10% of the maximum grade. Thus it does not mean that she has to take 60% of the maximum grade (as you stated).

Math Expert
Joined: 02 Sep 2009
Posts: 62456
Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12  [#permalink]

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09 Feb 2020, 03:21
Apt0810 wrote:
Hey Bunuel,Answer should be Option E

Posted from my mobile device

Yest it is. Edited the OA. Thank you!
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Re: Lily scored 50% of the maximum marks in an exam and yet failed by 12   [#permalink] 09 Feb 2020, 03:21
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