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KVPY2017MathematicsBasics of Mathematics

In a Mathematics test, the average marks of boys is x % and the average marks of girls is y % with x y . If the average marks of all students is z % , the ration of the number of girls to the total number of students is

Options

  1. Az-x y-x
  2. Bz-y y-x
  3. Cz+y y-x
  4. Dz+x y-x

Correct answer

A. z-x y-x

Step-by-step solution

Given Let no. of Boys =B & no of girls =G Sum of marks obtained by boys = B x Sum of marks obtained by girls = G.y Now, given array c B x+G y B+G =z B(x-z)=G(z-y) B G = z-y x-z array Add 1 array l B G +1= z-y x-z +1 B+G G = x-y x-z G B+G = z-x y-x array

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