How many members are there in the swimming club given the following conditions?

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How many members are there in the swimming club?

MyApproach

$3/10$ of the members have passed the test.

$\implies 7/10$ of the members have not passed the test.

Out of $7/10$ of the members, $12$ have taken preparatory course and $30$ have not taken preparatory course.

$\implies 7/10\cdot X=30+12$ where $X$ are the total no of people.

$\implies X=60$

Am I correct in my approach?

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Shortly,

$\frac 7{10}th$ of total =$30+12$

So,total=$60$