Question

Rahul’s rank in a class is 20 and he scored at least more than 75% of the class. What is

the minimum strength of the class???​

Answer 1

$\sf\large{\underbrace{Min\:strength\:of\:class \implies 80}}$

$\sf\large{\underline{\underline{Given,}}}$

$\sf\large{Rahul's\:Rank = 20}$

$\sf\large{Marks\:Scored = More\:than\:75\:percent\: of\:the\:class}$

$\sf\large{\underline{\underline{Now,}}}$

$\sf\large{Let\:the\:total\:strength\:of\:class\:be = "x"}$

$\sf\large{He\:scored\:more\:than\:75\;percent\:of\:the\:class.}$

$\sf\large{\underline{So,}}$

$\sf\large{His\:rank\:can\:be\:atmost\:in\:the\:top\:25\:percent\:of\:the\:class.}$

$\sf\large{\underline{\underline{In\:that\:case\:we\:get,}}}$

$\sf\large{\implies 0.25\:x = 20 \implies x = 80}$

$\sf\large{\underline{\underline{Hence,}}}$

$\sf\large{The\:strength\:of\:the\:class\:is\:at\:least\:80.}$