Question

raj answered 55 question in the tedt if an answer is correct he will be given 3 marks for the correct answer. if the answer is wrong he will loose 1.5 marks for each wrong answer he got 75 marks. he answered all the questions then total number of questions which are answered wrongly by raj is approximately what percentage of no. of questions which are correct​

Answer 1

Answer:

The percentage of number of questions which are correct is 64%

Step-by-step explanation:

the total number of questions answered by Raj is 55

Let the number of correct questions answered by him be x, thus the number of wrong answers will be 55-x

It is given that for a correct answer he will be given 3 marks and for a wrong answer he will loose 1.5 marks

The total marks he obtained is 75

We can combine the correct and wrong answers to get an equation,

3x-1.5(55-x)=75

3x-82.5+1.5x=75

4.5x-82.5=75

4.5x=75+82.5

4.5x=157.5

x=35

The number of correct answers= 35

The percentage of correct answers=$\frac{35}{55} .100=63.63$

The percentage of correct answers approximately is 64%