Question : Directions: A student has to obtain 40% of the maximum marks to pass. If she scored 80 marks and yet failed by 20 marks, then what were the maximum marks?
Option 1: 220
Option 2: 250
Option 3: 300
Option 4: 200
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Correct Answer: 250
Solution :
Given:
Let maximum marks = x
Passing marks = 40% = 0.4 x → (i)
Marks scored = 80
Remaining marks to pass = 20
Passing marks = 80 + 20 = 100 → (ii)
Equation (i) and (ii),
0.4 x = 100
x = 100 ÷ 0.4
x = 1000 ÷ 4
x = 250
So, the maximum mark is 250. Hence, the second option is correct.
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