Question

In a class the number of boys is more then the number of girls by 12% of the total strenght.The ratio of boys to girls is
(i) 11:14
(ii) 14:11
(ii) 25:28
(iii) 28:25​

Answer 1

Answer:

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

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❥ lєt thє nσ. σf tσtαl studєnt ín thє clαss ís 100 αnd

numвєr σf вσч вє х

❥ nσw, 12% σf thє 100 ís 12

thєn, numвєr σf gírl ís х−12.

❥ tσtαl numвєr σf studєnt ís х+(х−12)↠ 100

thєrєfσrє,

х↠ 56

❥ thєn, thє nσ. σf вσчs ↠ 56

αnd nσ. σf gírls ↠ 44

❥ вσчs:gírls ↠ 56:44

↠ 14:11

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(ii) 14:11 is the correct option.

Answer 2

Answer:

(ii) 14:11 it is the right answer

Step-by-step explanation:

let total number of students in class= 100

and total number of boys in class = x

then , total number of girls = x - 12

A/Q

--› x+ x-12= 100

--› 2x- 12 = 100

--› 2x = 100 + 12

--› 2x = 112

--› x = 112 / 2

--› x = 56

therefore , total number of boys = x

= 56

total number of girls = x- 12

= 56 - 12

= 44

So , the ratios of boys to girls = 56 / 44

= 14 / 11

Hence , the ratios of boys to girls = 14:11

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