In an examination, a student who got 20% of the total marks fails by 18 marks. Had he got 32% of the total marks he would have got 6 marks more than passing marks. What is the passing marks?

Question

lgbasallote · Answer

which a will be first....

anonymous · Answer

32-12 percent of the full marks=12 percent of the full marks=18+6=24 marks
so, full marks= 24/12 *100=200

lgbasallote · Answer

seems arnab got first :p

anonymous · Answer

more important, @Pratika_Rathore , u got it?

kropot72 · Answer

Pass mark is 58

apoorvk · Answer

So let the maximum marks be x, and the passing marks be y.

he gets 20% of it - that is one fifth x. which x/5

now if he had scored 18 more than x/5, more his score would have reached passing score, which is 'y'

so, x/5 + 18 = y ...{i}

If he scored 32% of the full marks, that (32/100)*x, his score would have been '6' more than the passing score 'y'
so,

32
---x  = y + 6   ....{ii}
100



Two linear equations 'i' and 'ii' - solve them to find out 'x' and 'y', and enjoy!!
Post your answer to verify.

anonymous · Answer

@arnab but no such option is mentioned

anonymous · Answer

yeah, i left u to do the rest

anonymous · Answer

Ya got it@apoorvk
x=200 and y=58 thanks bro

kropot72 · Answer

Let t = total marks
0.32t - 6 = pass mark
0.2t + 18 = pass mark
Solving for t gives t = 200
Substituting for t gives pass mark = 58

apoorvk · Answer

lol, you're (right + welcome). :P