A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam?

• take the maximum mark in each sub as 100. qualify mark is 50.On a total dt fellow gets 60 x 5= 100.
  We can write (10+9+8+7+6)a=300 => a=15/2
  In 5 subjects he gets 75,67.5,60,52.5,45.
  
  He passes in 4 subjects...
• 13 years agoHelpfull: Yes(32) No(0)
• Let the full marks of each subject is 100. So,
  Total Mark in five subjects = 500.
  Student gets 60% aggregate marks i.e. 60% of 500 = 300 marks.
  10x + 9x +8x +7x +6x = 300
  40x = 300
  x = 300/40 = 7.5.
  Marks in first subject = 10x = 10 *7.5 = 75.
  Marks in second subject = 9x = 9 *7.5 = 67.5
  Marks in third subject = 8x = 8 *7.5 = 60.
  Marks in fourth subject = 7x = 7 * 7.5 = 52.5
  Marks in last subject = 6 *7.5 = 45.
  Thus, he passed in 4 subjects.
• 7 years agoHelpfull: Yes(2) No(0)
• answer is 4
  
• 13 years agoHelpfull: Yes(0) No(3)
• Let us take maximum marks = 100... 60% of 100 is 60... so total marks he got is 60*5=300. and half of maximum =50 is the pass mark
  given ratio is 10:9:8:7:6 .
  check with least value in the ratio. That is 6...... 6/(10+9+8+7+6) *300 = 45 (Fail)
  now go with 2nd least ... that is 7.........7/(10+9+8+7+6) * 300 = 51.4 (pass.... so 10,9,8 also pass)
  So That guy was passed in 4 subjects and failed in one subject.
• 10 years agoHelpfull: Yes(0) No(0)
• Aggregate: (10+9+8+7+6)/5 =40/5 =8
  60% ~ 8
  100% ~ 40/3
  50% ~ 20/3 ~6.6666
  Therefore student only passed in the first four subjects.
• 5 years agoHelpfull: Yes(0) No(0)