Question

Percentages A student takes an exam and gets 27 out of 33 questions correct. ( a) Calculate the percent correct to two decimal places past the decimal (i.e. 50.00%) ( b) Calculate the percent incorrect to two decimal places past the decimal.

Answer 1

Given:

Total question = 33

Correct question = 27

Find-:

(A) Calculate the percent correct to two decimal places

(B) Calculate the percent incorrect to two decimal places

Explanation-:

(A)

The total question is 33 and the correct question is 27.

The percentage of correct questions is:

`\begin{gathered} =(27)/(33)*100 \\ \\ =(9)/(11)*100 \\ \\ =0.81818*100 \\ \\ =81.82\% \end{gathered}`

The total correct question is 81.82%

(B)

The total question is 33 and the correct question is 27.

Then,

The incorrect question is:

`\begin{gathered} \text{ Incorrect question }=33-27 \\ \\ \text{ Incorrect question }=6 \end{gathered}`

The percentage of incorrect questions is:

`\begin{gathered} =(6)/(33)*100 \\ \\ =(2)/(11)*100 \\ \\ =0.181818*100 \\ \\ =18.18\% \end{gathered}`

The total number of incorrect question is 18.18%