Question

In an examination, a person scores 117 marks more than the passing marks. The passing marks in the examination is 36% of the total marks. If he got 75% of the total marks, what was the total marks in the examination?

Answer 1

$\huge{\underline{\green{\rm{Solution:}}}}$

$\sf{Given=\begin{cases}\:The\: passing\:marks=36\%\\The\:man\:got\:75\%=Total\:marks\end{cases}}$

$\large{\underline{\red{\rm{To\:Find:}}}}$

• $\sf{Total\: Mark's\:in\:the\: examination}$

$\large{\underline{\red{\rm{Let:}}}}$

• $\sf{Total\: Mark's\:in\:the\: examination\:be\:x}$

$\small{\underline{\purple{\rm{As\: per\: the\: question:}}}}$

$\small{\underline{\red{\rm{The\: passing\: mark's+117\: mark\: more\: than\: passing\:mark=Total\: mark's\: secured\:by\:the\:man:}}}}$

$\sf\orange{\implies x*36\%+117=x*75\%}$

$\rm{\implies x*\dfrac{36}{100}+117=x*\dfrac{75}{100}}$

$\rm{\implies \dfrac{36x}{100}+117=\dfrac{75x}{100}}$

$\rm{\implies \dfrac{75x}{100}-\dfrac{36x}{100}=117}$

$\rm{\implies \dfrac{75x-36x}{100}=117}$

$\rm{\implies \dfrac{39x}{100}=117}$

$\rm{\implies \cancel{39}x=\cancel{117}*100}$

$\rm{\implies x=3*100}$

$\sf\green{\implies x=300}$

Hence,

$\sf\pink{\implies Total\: mark's\:in\: examination=300}$

Answer 2

✰✰|| Given ||✰✰

• No. of marks got more than passing marks = 117

• The passing marks in examination = 36%

• Marks he got = 75%

✰✰|| To Find ||✰✰

• Total marks in examination

✪|| Solution ||✪

difference between passing marks and marks he got = 75% - 36%

⇒ 117 = 39%

⇒117/39 = 1%

⇒ 3 = 1%

Total marks in examination = 100 × 3

⇒ Total marks in examination = 300

Total marks in examination is 300