Sohan have to do 60 questions.2 marks are given for each correct answer and 1/3 mark is deducted for every wrong answer. He got 50 marks. How many questions he did wrong?
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Answer:
18
Step-by-step explanation:
Let Sohan get x questions right,
Then, no. of wrong questions = 60-x
Marks for each right question = 2
Marks for each wrong question = (-1/3)
According to the question,
2*x+(-1/3)*(60-x)=50
=> 2x+[(-1/3)60-(-1/3)x]=50
=> 2x-20+(x/3)=50
=> (6x/3)-20+(x/3)=50 (Taken LCM)
=> (5x/3)-20=50
=> (5x/3)=50+20
=> (5x/3)=70
=> 5x=70*3
=> 5x=210
=> x=(210/5)
=> x=42
No. of correct answers = 42
Hence, No. of incorrect answers = 60-42
= 18
Done!
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