Math, asked by gursharan726, 1 year ago

in an examination 30% of the candidates failed in English 35% failed in GK and 27% failed in both the subjects if 310 candidates passed in both how many candidates appeared in the examination

Answers

Answered by sham3307
130
hope it will help u!!
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gursharan726: thanks for doing this...
Answered by DelcieRiveria
56

Answer:

Total number of candidates appeared in the examination is 500.

Step-by-step explanation:

A : The candidate failed in English is 30%.

B : The candidate failed in GK is 35%.

A∩B : The candidate failed in both English and GK is 27%.

The candidate failed in at-least one subject is

A\cup B=A+B-A\cap B

A\cup B=30\%+35\%-27\%

A\cup B=38\%

Therefore 38% students failed in at-least one subject. The candidates passed in both is

1-38\%=62\%

It is given that 310 candidates passed in both subjects. Let the total number of candidates appeared in the examination be x.

x\times \frac{62}{100}=310

x=310\times \frac{100}{62}

x=500

Therefore, the total number of candidates appeared in the examination is 500.

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