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Rahul Kumar Thakur

· started a discussion

· 1 Months ago

please provide a soln....

Question:

A class consists of 20 boys and 30 girls. In  the mid semester examination, the average   score of the girls was 5 more than of boys'. In the final exam, however, the average score of the girls dropped by 3 while the average score of entire class increased by 2. The increase in the average score of the boys is –

Options:
A)

10

B)

4.5

C)

9.5

D)

6

Solution:

Ans: (c)


jishnu r

· commented

· 1 Months ago

let avg mark of boys in midterm=x , girls=x+5

total mark of students in midterm = 20*x +30(x+5)=50x + 150

avrg of class in midterm=(50x + 150)/50= x+3

Now in final exam girls avg decrease 3 , so the avg of girls=x+5-3= x+2

also clss avg increases by 2 that means=x+3+2=x+5

total mark of cls=(x+5)*50=50x+250 -----------------------(1)

let the avg of boys increases by 'k'

then total mark of clss=(x+k)20 + (x+2)30-----------------(2)

(1)=(2);

50x+250=(x+k)20 + (x+2)30=50x+20k+60

190=20k; k =9.5

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