Question

In a test consisting of 80questions carrying one mark each,arpita answers 65% of the first 40 questions correctly.What per cent of the other 40 questions does she need to answer correctly to score75%on the entire test?

Answer 1

Answer:85%

Step-by-step explanation:

For first 40 questions,

Questions answered correctly= 65% of 40

=(65/100)×40=6.5×4=26

Now to score overall 75% in test, she has to answer in total 75% of 80 questions

(75/100)×80=(3/4)×80=60 questions.

But in first part she correctly answered 26 questions already.

Therefore in second part she needs to answer (60-26)=34 questions.

Let x%of 40 =34

Or,(x/100)×40=34

Or,4x=340

Or,x=340/4=85%