Peter got 30%, of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination?
A. 75
B. 250
C. 35
D. 85
E. 65

• let the max mark be x n passing mark be y.
  peter got 30% of max mark =.3x i.e (x*30/100)
  but he failed by 10 mark
  therefore passing mark i.e y=.3x+10
  now, paul got 40% of max mark=.4x
  but he get 15 marks more than passing mark
  therefore passing mark i.e y= .4x-15
  now from eq (i) n eq(ii)
  .4x-15=.3x+10
  x=250 i.e max mark
  therefore passsing mark(put value of x)
  y=.4x-15=.3x+10= 85
  ans:D
  
• 12 years agoHelpfull: Yes(8) No(2)
• let max marks = 100x
  peter obtained = 30x
  passing marks = 30x+10
  Paul obtained = 40x
  passing marks = 40x-15
  Equating the passing marks--
  30x+10 = 40x-15
  x = 2.5
  Hence maximum marks = 100x
  = 100*2.5
  
• 10 years agoHelpfull: Yes(3) No(1)
• let maximum marks = 100x
  peter obtained = 30x
  passing marks = 30x+10
  paul obtained = 40x
  passing marks = 40x-15
  Equating the passing marks--
  30x+10 = 40x-15
  x = 2.5
  Hence maximum marks = 100x = 100*2.5 = 250 Marks. option (B)
• 10 years agoHelpfull: Yes(2) No(0)
• LET,TOTAL MARKS=X
  Peter got= 30x/100=3x/10 paul got=4x/10
  now, 4x/10-3x/10=25,
  so x/10=25 or x=250
  so ans is B. 250
• 11 years agoHelpfull: Yes(1) No(1)
• passing marks is =30%of total +10
  and also 40%of total-15
  compare both
  .3x+10=.4x-15
  x=250(total)
  passing marks =30%of 250+10=85
• 7 years agoHelpfull: Yes(1) No(0)
• aaaaaaaaaaaaaaaaaaaaaaaaa
  85
• 3 years agoHelpfull: Yes(0) No(0)