Question

On a test consisting of 75 questions carrying one mark each, samir answered 75% of the first 40 questions correctly. What approximate per cent of the other 35 questions does he need to answer correctly to score 80% on the entire test?

Answer 1

Answer:

57.14 %

Step-by-step explanation:

for scoring 80% in test he need to answer 60 questions (80% of 75)

he answered 40 questions correctly that means he need to answer 20 questions correctly out of 35 questions

20%of 35= 57.14

Answer 2

He must score $85\frac{5}{7}\%$ in other 35 questions.

Step-by-step explanation:

Given,

Total questions = 75,

If he answered 75% of the first 40 questions correctly.

So, correct question out of first 40 questions = $\frac{75\times 40}{100}$

$=\frac{3\times 40}[4}$

$=30$

Suppose he answered x% of other 35 questions correctly,

So, correct question out of other 35 questions = $\frac{x\times 35}{100}$

$=\frac{7x}{20}$

Thus, total correct questions = $30+\frac{7x}{20}$

Since, out of total questions he solved 80% questions correctly,

That is, total correct questions = 80% of 75

$=\frac{80}{100}\times 75$

$=\frac{4}{5}\times 75$

$=4\times 15$

= 60,

$\implies 30 +\frac{7x}{20}=60$

$600 + 7x = 1200$

$7x = 600$

$\implies x =\frac{600}{7}=85\frac{5}{7}\%$

Hence, he must score $85\frac{5}{7}\%$ in other 35 questions.

#Learn more:

In a test consisting of 150 questions, Neha answered 40% of the first 90  questions correctly. What per cent of  the 60 questions does she need to  answer correctly for her score in the  entire test to be 60%?​

https://brainly.in/question/11905522