Raquel scores 40% in an examination and after review, even though her

Question

Raquel scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is

A) 75

B) 80

C) 60

D) 70

E) 65

A) 75

B) 80

C) 60

D) 70

E) 65

GMATinsight · Answer

Let, Actual score = x

score After review = 1.5x

Now, x = 40% of examination score = 0.4*Exam score

i.e. Examination score = 2.5x

Passing Marks = 1.5x+35

Also, Passing marks + 7 = 1.5x + 20% of 1.5x = 1.2*1.5*x

i.e. (1.5x+35) + 7 = 1.8x

i.e. o.3x = 42

i.e. x = 140

i.e. Passing score = 1.5x+35 = 210+35 = 245

Total Exam score = 2.5x = 2.5*140 = 350

% passing marks  = \frac{245}{350}*100 = 70

Answer:Option D

nick1816 · Answer

Assume max score = x
Her score, S = 0.4x

1.5*1.2 *S - 1.5S = (35+7)

0.3S = 42

S = 0.4x= 140; 0.1x =35

140*1.5 +35 = 0.4x*1.5 +0.1 x = 0.7x

The percentage score needed for passing the examination is = 0.7*100=70

Archit3110 · Answer

let max marks - 100 x
so scored is 40x and increase is 40x*1.2 ; 60x 
this 60x+35 = (60x*1.2-7)
solve for x = 7/2
so max marks ; 100*7/2 ; 350 and passing marks = 60*7/2 + 35 ; 245
Passing % ; 245/350 ; 70%
OPTION D

ScottTargetTestPrep · Answer

We can let n = the total available marks of the exam and p = the passing mark of the exam. We can create the equations (note that a 50% increase from 40% is 60% and a further 20% increase is 72%):

0.6n = p - 35

and

0.72n = p + 7

Subtracting the first equation from the second, we have:

0.12n = 42

n = 350

Substituting 350 into n in the first equation, we have:

0.6(350) = p - 35

210 = p - 35

245 = p

Since p = 245 and n = 350, one needs to score 245/350 = 0.7 = 70% to pass the exam.

Answer: D

Akarsh97 · Answer

On easy side 
Let X be the passing marks

Increased score = 1.5*40% = 60% = X-35
Further Increased = 1.2*60% = 72% = X+7

For 42 marks % varied 12.

For 1% Marks vary = 3.5

Passing % = 60+10 = 72-2 = 70%

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