Question

six students failed in geometry, this represents 16 2/3% of the class, how many students passed the exams?

A) 25%

B) 20%

C) 80%

D) 40%

Answer 1

Answer:

6 — 50/3 %

x —100%

—> x=6*100/(50/3)= 36

In total, there are 36 students in the class. From them, 36–6=30 students passed the exam

30/36*100=83.33%

about 80%

Answer 2

Concept

Percentages are part of a whole and are expressed as numbers from 0 to 100, not fractions. Everything is 100%, half of it is 50%, and nothing is 0%.

Given

We have been given percentage of students who failed in geometry is $16\frac {2}{3} %$ percentage and the number of students failed in geometry is six.

Find

We are asked to determine the number of students passes the exam.

Solution

It is given that $16\frac {2}{3} %$ .On solving this mixed fraction , we get

$\frac{16\times3+2}{3} =\frac{50}{3}$

Now, let number of students in the class be x .

Only $\frac{50}{3}$ percent of the class is failed which is equal to 6.

$\frac{50}{3\times 100}\times x =6\\\\x=\frac{6\times3\times100}{50} \\x=36$

Hence , total number students in the class is 36 .

Number of students who passed the exams = total - fail students

                                                                          = 36-6

                                                                          = 30

Percentage of students who passed the exams $=\frac{passed\ students}{total} \times100$

                                                                                $=\frac{30}{36} \times100\\=83.33\ percent$

Approxiamtely , 80% of the students passes the exams .

Therefore ,  80 % of the students passed the exams which is option (C)

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