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  • In a competitive examination, one mark is awarded for each correct answer while1by2 mark is deducted for every wrong answer.Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly

In a competitive examination, one mark is awarded for each correct answer while \frac{1}{2} mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?

Answers (1)

Solution:
Let x be the number of correct answer and (120 – x) be the number of wrong answer .
According to question

x – \frac{\left ( 120-x \right )}{2}= 90

\frac{2x-120+x}{2}= 90

3x – 120 = 180
3x = 180 + 120
3x = 300
x= \frac{300}{3}
x = 100
Hence Jayanti answered 100 questions correctly.

Posted by

infoexpert27

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