UPSC CAPF Assistant Commandant Model Paper 6

Tips & Tricks
GIVEN:
Ankit got 28% marks in an examination and failed by 40 marks. Had he got 40% marks, he would have got 32 more marks than the passing marks.
FORMULA USED:
X% of Y = Y% of X
CALCULATION:
Suppose the maximum marks are ‘M’ and passing marks are ‘P’.
So,
28% of M = P - 40 ---(i)
And
40% of M = P + 32 ---(ii)
From both the equations :
⇒ M = 600 and P = 208
∴ Maximum marks of the examination = 600
Smart Method
Difference in percentage marks = (40 - 28)% = 12%
Difference in marks = 72
Hence,
12% = 72
∴ 100% = (72/12) × 100 = 600.