in an examination, rahul secured 45 %, marks which were 30 more than the minimum pass marks. in the same examination, john secured 24 %marks which were 96 less than the minimum pass marks. find the maximum marks and the minimum pass marks of the examination
please its urgent
Answers
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#BE BRAINLY
Step-by-step explanation:
ANSWER
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\begin{gathered}let \: the \: maximum \: marks \: be \: x \\ \\percentge \: of \: marks \: obtained \: by \: rahul \: = 45\% \\ \\ marks \: obtained \: by \: him \: = \: \frac{45}{100}x \\ \\ since \: the \: marks \: obtained by \: him \: are \:30 \: more \: than \: minimum \: marks \\ \\ minimum \: marks \: = \frac{45}{100} x - 30 - - - - - (1) \\ \\ percentage \: of \: marks \: obtained \: by \: john = 24\% \\ \\ marks \: obtained \: by \: him = \frac{24}{100}x \\ \\ since \: the \: marks \: obtained by \: him \: are \:96 \: less \: than \: the \: minimum \: marks \\ \\ minimum \: marks \: = \frac{24}{100} x + 96 \: - - - - - - (2) \\ \\ from \: equations \: (1) \: and \: (2) \: we \: get \\ \\ \ \frac{45}{100} x - 30 = \frac{24}{100} x + 96 \\ \\ = > \frac{45}{100} x - \frac{24}{100} x = 96 + 30 \\ \\ = > \frac{21}{100} x = 126 \\ \\ = > x = 126 \times \frac{100}{21} \\ \\ = > x = 6 \times 100 \\ \\ = > x = 600 \\ \\ ans) \: the \: maximum \: maks \: to \: be \: obtained \\ are \: 600 \: marks. \\ \\ minimum \: marks \: = \: \frac{45}{100} \times 600 - 30 \\ \\ = > 270 - 30 \\ \\ = > 240 \\ \\ ans \: ) \: the \: minimum \: marks \: to \: be \: \\ obtained \: are \: 240 \: marks.\end{gathered}
letthemaximummarksbex
percentgeofmarksobtainedbyrahul=45%
marksobtainedbyhim=
100
45
x
sincethemarksobtainedbyhimare30morethanminimummarks
minimummarks=
100
45
x−30−−−−−(1)
percentageofmarksobtainedbyjohn=24%
marksobtainedbyhim=
100
24
x
sincethemarksobtainedbyhimare96lessthantheminimummarks
minimummarks=
100
24
x+96−−−−−−(2)
fromequations(1)and(2)weget
100
45
x−30=
100
24
x+96
=>
100
45
x−
100
24
x=96+30
=>
100
21
x=126
=>x=126×
21
100
=>x=6×100
=>x=600
ans)themaximummakstobeobtained
are600marks.
minimummarks=
100
45
×600−30
=>270−30
=>240
ans)theminimummarkstobe
obtainedare240marks.
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#BE BRAINLY