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Option 1 : 21
Given: Rajiv scored 20% marks in an exam and failed by 11 marks.
If he scored 50% marks, then he gets 4 marks more than passing marks.
Solution:
Let the total marks in the exam be ‘x’
Passing marks = 20% of x + 11 = 0.2x + 11
Also, Passing marks = 50% of x – 4 = 0.5x – 4
⇒ 0.5x – 4 = 0.2x + 11
⇒ 0.5x – 0.2x = 11 + 4
⇒ 0.3x = 15
⇒ x = 15/0.3 = 50
∴ Passing marks = 0.2(50) + 11 = 10 + 11 = 21
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