Question

A certain number of candidates appeared for an examination in which one fifth of the whole + 16 secured first division 1 fourth + 15 secured second division and one fourth minus 25 secured third division if the remaining 60 candidates failed find the total number of candidates appeared

Answer 1

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Answer 2

Answer:

Total number of students in the class = 220

Step-by-step explanation:

Let the total number of students be x

Then using the given condition :

$\frac{1}{5}x+16+\frac{1}{4}x+15+\frac{1}{4}x-25+60 = x\\\\\implies 16+15-25+60=x-\frac{1}{5}x-\frac{1}{4}x-\frac{1}{4}x\\\\\implies 66=\frac{20x-4x-5x-5x}{20}\\\\\implies 66\times 20=6x\\\\\implies x=11\times 20\\\\\implies x = 220$

Hence, Total number of students in the class = 220