Question

Ashish got 30% of the maximum marks in an examination and failed by 10 marks. Sahil took the same examination got 40% of the total marks and got 30 marks more than the passing marks. What were the passing marks in the examination?

• A. 400
• B. 600
• C. 130
• D. None of These

Answer 1

The correct option is C

130

Let the passing marks be ‘x’ and maximum marks be ‘y’

So, 30% of y = x – 10

(30*y)/100 = x – 10

30y-100x = - 1000 ………(i)

And, 40% of y = x + 30

(40*y)/100 = x + 30

40y -100x = 3000 ……….(ii)

Equating (i) and (ii) we get

-10y = -4000

y = 400

Putting the value of y in eq (i) we get

30*400 – 100x = -1000

12000 – 100x = -1000

-100x = -13000

x = 130