Question

Number of students who passed in a class is 20%greater than those who failed find by what percent failure

Answer 1

50 + 20 = 70

50 - 20 = 30

the answer is 30%

Answer 2

Answer:

The percentage of failed students is 16.67%

Step-by-step explanation:

Let the number of students passed be 100.

And the number of students failed be x.

Given the number of students passed in a class is 20% greater than those of failed.

Writing the given statement in the equation form, we have    

$x+\dfrac{20}{100} \times x=100$

$\implies x+\dfrac{20x}{100} =100$

$\implies \dfrac{100x+20x}{100} =100$

$\implies \dfrac{120x}{100} =100$

$\implies 120x =100\times 100$

$\implies x =\dfrac{10000}{120} =83.33$

A percentage is a number or ratio expressed as a fraction of 100.

Percentage formula is given by

$\dfrac{\mbox{value}}{\mbox{Total ~value}}\times 100$

Using the same formula to find the percent failure less than the passed  students,    

$=\dfrac{100-83.33}{100}\times 100 =16.67\%$

Therefore, the percentage of failed students is 16.67%

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