Question

Mike needs 30% to pass a test. If he scored 212 marks and misses the pass mark by 13 marks, what was the total marks of the test?

Answer 1

$\sf\large\green{\underbrace{Answer\implies 750}}}$

$\sf\large\underline\purple{Let:-}$

$\sf{\implies Total\:_{(marks\:in\:test)}=x}$

$\sf\large\underline\purple{Given:-}$

$\sf{\implies Passing\:_{(marks\:in\:test)}=30\%}$

$\sf{\implies Mike\:_{(secured\:in\:test)}=212}$

$\sf{\implies Mike\:_{(failed\:in\:test)}=13}$

$\sf\large\underline\purple{To\:Find:-}$

$\sf{\implies Total\:_{(marks\:in\:test)}=?}$

$\sf\large\underline\purple{Solution:-}$

• To calculate the total marks in test ,at first we have to assume the total marks be "x" after that we have to add those mark which is secured by students and the marks by which he failed then calculate the total marks:-]

$\sf{\implies As\:per\:the above\: mentioned:-}$

$\sf{\implies Number\:_{(passing\:marks)}=212+13}$

$\sf{\implies Number\:_{(passing\:marks)}=225}$

• Now calculate total marks here:-]

$\tt{\implies x\:of\:30\%=passing\:_{(marks)}}$

$\tt{\implies x\times\dfrac{30}{100}=225}$

$\tt{\implies \dfrac{30x}{100}=225}$

$\tt{\implies 30x=225\times\:100}$

$\tt{\implies 30x=22500}$

$\tt{\implies x=750}$

$\sf\large{Hence,}$

$\sf\blue{\implies Total\:_{(marks\:in\:test)}=750}$

Answer 2

$\huge{\underbrace{\gray{GIVEN:-}}}$

• Mike needs 30% to pass a test .

• He scored 212 marks .

• And falls short by 13 marks .

$\huge{\underbrace{\gray{TO\:FIND:-}}}$

• The maximum mark, that he should have got .

$\huge{\underbrace{\gray{SOLUTION:-}}}$

☞︎︎︎ It is given that,

• If Mike had scored 13 marks more, he could have scored 30% .

$\huge\red\therefore$ Milk required = 212 + 13 = 225 marks

Let,

• $\bf\red{Maximum\:marks\:be}$ "X" .

☯︎ Then,

$\huge\red\checkmark$ 30% of X = 225

$\rm{:\implies\:\dfrac{30}{100}\times{X}\:=\:225\:}$

$\rm{:\implies\:{X}\:=\:\dfrac{225\times{10\cancel{0}}}{3\cancel{0}}\:}$

$\rm{:\implies\:{X}\:=\:\dfrac{\cancel{225}\times{10}}{\cancel{3}}\:}$

$\rm{:\implies\:{X}\:=\:75\times{10}\:}$

$\bf\green{:\implies\:{X}\:=\:750\:}$

$\huge\pink\therefore$ The maximum mark, that he should have got is "750 marks" .