Question

In a class of students 1/4 of the students are in Pratap house and 3/10 are in Ranjit house . Out of the remaining students 1/3 are in Shivaji house and rest 18 students are in Chandragupta house . Find the total number of students in the class.​

Answer 1

Correct question:-

In a class of students 1/4 of the students are in Pratap house and 3/10 are in Ranjit house . Out of the remaining students 3/20 are in Shivaji house and rest 18 students are in Chandragupta house . Find the total number of students in the class.​

[question is wrong as given question‘s answer(number of students) was coming in decimal]

Answer:

60

Explanation:

Given :

• 1/4 of the students are in Pratap

• 3/10 of the students are in Ranjit house.

• 3/20 are in Shivaji house.  

• rest 18 students are in Chandragupta house.

To Find :

Total number of student.

Solution :

Let the total number of student be “x”

So,

$\sf{}x\ of\ \dfrac{1}{4}\ are\ in\ Pratap\ house\\\\\Rightarrow\dfrac{x}{4}$

$\sf{}x\ of\ \dfrac{3}{10}\ are\ in\ Ranjit\ house\\\\\Rightarrow\dfrac{3x}{10}$

$\sf{}x\ of\ \dfrac{3}{20}\ are\ in\ Shivaji\ house\\\\\Rightarrow\dfrac{3x}{20}$

$\sf{}and\ remaining\ 18\ students\ are\ in\ Chandragupta\ house$

So,Total students:-

$\implies \sf{}\dfrac{x}{4}+\dfrac{3x}{10}+\dfrac{3x}{20}+18=x$

$\implies \sf{}\dfrac{x\times5+3x\times2+3x\times1+18\times20}{20}=x$

$\implies \sf{} \dfrac{5x+6x+3x+360}{20}=x$

$\implies\sf{}\dfrac{14x+360}{20}=x$

$\implies\sf{}14x+360=x\times20$

$\implies\sf{}360=20x-14x$

$\implies\sf{}360=6x$

$\implies\sf{}\dfrac{360}{6}=x$

$\implies\sf{}x=60\ students$

Therefore,total number of student is equal to 60.

Answer 2

Step-by-step explanation:

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