Question

In a class of 80/students the ratio of urban and rural is 5:3 In a test the average score of rural students is 40% more than that of urban. If the avg score of all students is 92,then the avg score of rural students is

Answer 1

The average score of rural students is 23

Answer 2

The average score of rural students is 112.

Step-by-step explanation:

Since we have given that

Number of students =80

Ratio of urban and rural = 5:3

So, Number of urban students = $\dfrac{5}{8}\times 80=50$

Number of rural students = $\dfrac{3}{8}\times 80=30$

Let the average score of urban be 'x'

Let the average score of rural be $\dfrac{100+40}{100}x=\dfrac{140}{100}x=1.4x$

total average = 92

According to question, it becomes,

$\dfrac{50x+30\times 1.4x}{80}=92\\\\50x+42x=92\times 80=7360\\\\92x=7360\\\\x=\dfrac{7360}{92}\\\\x=80$

Hence, the average score of rural students would be

$1.4x=1.4\times 80=112$

# learn more:

In a class 3/ 3rd students are boys with an avg score of 63 and girls avg score is 66 what is avg of entire class​

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