Question

70% students passed an examination. If 36 students failed, what is the total number of students who appeared for the examination?

Answer 1

Answer:

Student Passed in English =80%

Students failed in English=100%−80%=20%

Students passed in Maths =70%

Students failed in Maths =100%−70%=30%

Students failed in both =10%

Total failed students = Failed in English + failed in Math − Common

Total fail students =20%+30%−10%=40%

If 40% failed then 60% will be passed.

Let total students be x.

Hence, 60% of x=144

⇒

100

60

×x=144

⇒x=

60

144×100

⇒x=240

Therefore, total students is 240.

Answer 2

The total number of students who appeared for the examination = 120

Given :

• 70% students passed an examination.

• 36 students failed

To find :

The total number of students who appeared for the examination

Solution :

Step 1 of 2 :

Form the equation to calculate total number of students who appeared for the examination

Here it is given that 70% students passed an examination

∴ Percentage of students failed in the examination

= (100 - 70)%

= 30%

Let total number of students who appeared for the examination = n

Since 36 students failed

By the given condition

$\displaystyle \sf n \times 30\% = 36$

Step 2 of 2 :

Calculate total number of students who appeared for the examination

$\displaystyle \sf n \times 30\% = 36$

$\displaystyle \sf{ \implies }n \times \frac{30}{100} = 36$

$\displaystyle \sf{ \implies }n = 36 \times \frac{100}{30}$

$\displaystyle \sf{ \implies }n = 120$

Hence total number of students who appeared for the examination = 120

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