Question

In an examination 65% of the total examinees passed. If the number
of failures is 560 , find the total number of examinees.

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt In\: an\: examination\: 65\%\: of \:the\: total\: examinees\\\tt passed\:. If \:the\: number\: of\: failures\: is \:560\: , find\\\tt the\: total\: number\: of \:examinees.$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf Persent\:of\:examinees\:passed=65\%$
• $\sf \bf Number\:of\:students\:failed=560$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\sf \bf Total\:number\:of\:examinees$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

$\tt{\underbrace {Let\:us\:assume\:that\:total\:number\:of\:examinees=x}}$

$\sf \bf Percent\:of\:examinees\:failed=100\%-65\%$

$\sf \bf \implies 35\%$

$\sf \bf \implies 35\%\:of\:x=560$

$\sf \bf \implies \dfrac{35}{100} \times x=560$

$\sf \bf \implies x=\dfrac{560\times 100}{35}$

$\sf \bf \implies x=\dfrac{56000}{35}$

$\implies {\boxed {\color {green} {\sf \bf x=1600}}}$

$\therefore \tt \underline {Total\:number\:of\:examinees\:are\:1600}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\tt {\underbrace {Percentage}}$

$\tt In\: mathematics\:, a\: percentage\: is \:a\: number\\\tt or\: ratio\: expressed\: as \:a\: fraction\: of\: 100.\\\tt A \:percentage \:is\: a\:\: dimensionless\: number\: it\\\tt has \:no\: unit\: of\: measurement.$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$