Question

एक परीक्षा में 2000 परीक्षार्थी थे। जिनमें 900
लडके और शेष लडकियाँ थी। यदि 32% लड़के और
38% लडकियों पास हुये तो फेल हुये परीक्षार्थियों का
-प्रतिशत होगा?​

Answer 1

AnswEr :   [Eng.version]

64.7%

$\bf{\large{\underline{\sf{Given\::}}}}$

There were two thousand candidates in an examination. 900 of which there were boys and the remaining girls. If 32% boys and 38% girls passed.

$\bf{\large{\underline{\sf{To\:find\::}}}}$

The fail candidates percentage what will happen?

$\bf{\large{\underline{\underline{\tt{\red{Explanation\::}}}}}}$

$\bf{We\:have}\begin{cases}\sf{Total\:students\:=\:2000}\\ \sf{Number\:of\:boy's\:=\:900}\\ \sf{Number\:of\:girl's\:=\:(2000-900)=1100\:}\end{cases}}$

A/q

$\bf{\large{\underline{\underline{\rm{\green{\blacksquare{Number\:of\:boy's\:passed\::}}}}}}}$

$\longmapsto\tt{32\%\:of\:900}\\\\\\\\\longmapsto\tt{\dfrac{32}{\cancel{100}} *9\cancel{00}}\\\\\\\\\longmapsto\tt{(32\times 9)}\\\\\\\\\longmapsto\tt{\red{288\:students\'s}}$

$\bf{\large{\underline{\underline{\rm{\green{\blacksquare{Number\:of\:girl's\:passed\::}}}}}}}$

$\longmapsto\tt{38\%\:of\:1100}\\\\\\\\\longmapsto\tt{\dfrac{38}{\cancel{100}} *11\cancel{00}}\\\\\\\\\longmapsto\tt{(38\times 11)}\\\\\\\\\longmapsto\tt{\red{418\:students\'s}}$

∴ The total student's passed = (288+418) = 706

Now,

$\bf{\large{\underline{\underline{\rm{\green{\blacksquare{Number\:of\:student's\:failed\::}}}}}}}$

$\leadsto\sf{\green{Total\:student's\:-\:passed\:student's}}\\\\\\\leadsto\sf{(2000\:-\:706)\:student's}\\\\\\\leadsto\sf{\red{1294\:student's\:failed}}$

$\bf{\large{\underline{\underline{\rm{\green{\blacksquare{Percentage\:(\%)\:of\:student's\:failed\::}}}}}}}$

$\mapsto\tt{\bigg(\dfrac{Fail's\:student}{Total\:student}\times100\bigg)\%}\\\\\\\\\mapsto\tt{\bigg(\dfrac{1294}{20\cancel{00}} \times \cancel{100} \bigg)\%}\\\\\\\\\mapsto\tt{\bigg(\cancel{\dfrac{1294}{20} }\bigg)\%}\\\\\\\\\mapsto\tt{\red{64.7\:\%}}$

∴ The failed student's is 64.7 %.

Answer 2

$\huge\star{\green{\underline{\mathfrak{Answer :-}}}}$

Hindi:

दिया हुआ:

• 2000 परीक्षार्थी
• उनमें 900 लड़के
• कुछ लड़कियां
• 32% लड़के फेल हुए
• 38% लड़कियां फेल हुई

ढूँढ़ने के लिए:

• पास हुए लड़के एवं लड़कियों का प्रतिशत

उत्तर:

अगर 2000 परीक्षार्थी है और 900 उनमें से लड़के है,

तो, 2000 - 900 = 1100 लड़कियां है।

अब, लड़कों की संख्या जो परीक्षा में फेल हो गए:

$\leadsto\tt{\dfrac{32}{100}\times 900}$

$\leadsto\tt{32 \times 9}$

$\leadsto\tt{\underline{288}}$लड़के

अब, लड़कियां की संख्या जो इस परीक्षा में फेल हुई है:

$\leadsto\tt{\dfrac{38}{100}\times 1100}$

$\leadsto\tt{38 \times 11}$

$\leadsto\tt{\underline{418}}$लड़कियां

कुल परीक्षार्थी जीनिस परीक्षा में फेल हुए है : 288 + 418 = 706।

अब, कुल परीक्षार्थी जो पास ही गए: 2000 - 706 = 1294।

पास हुए परीक्षार्थियों का प्रतिशत =

$\leadsto\tt{\dfrac{1294}{2000}\times 100}$

$\leadsto\tt{0.647 \times 100}$

$\leadsto\tt{\underline{64.7}}$%

अतः, अंतिम उत्तर = 64.7 %.

$\rule{200}2$

English:

Given:

• 2000 examinees
• 900 boys among them
• some girls
• 32% boys failed
• 38% girls failed

To find:

•  Percentage of boys and girls passed (examinees)

Answer:

If 2000 are candidates and 900 of them are boys,

So, 2000 - 900 = 1100 are girls.

Now, the number of boys who failed the exam:

$\leadsto\tt{\dfrac{32}{100}\times 900}$

$\leadsto\tt{32 \times 9}$

$\leadsto\tt{\underline{288}}$boys.

Now, the number of girls who failed this exam:

$\leadsto\tt{\dfrac{38}{100}\times 1100}$

$\leadsto\tt{38 \times 11}$

$\leadsto\tt{\underline{418}}$girls.

Total candidates have failed in Genis Examination: 288 + 418 = 706.

Now, the total number of candidates who passed: 2000 - 706 = 1294.

Percent of passed candidates =

$\leadsto\tt{\dfrac{1294}{2000}\times 100}$

$\leadsto\tt{0.647 \times 100}$

$\leadsto\tt{\underline{64.7}}$%

Hence, final answer = 64.7%.

$\rule{200}4$