NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 8: Ratio & Proportion - Multiple Choice Questions
Question 9

Question.  9

There are ‘b’ boys and ‘g’ girls in a class. The ratio of the number of boys to the total number of students in the class is:

(A)

\(\dfrac{b}{b+g}\)

(B)

\(\dfrac{g}{b+g}\)

(C)

\(\dfrac{b}{g}\)

(D)

\(\dfrac{b+g}{b}\)

Detailed Answer with Explanation:

  1. Identify what we know.

    Boys in the class: ( b )

    Girls in the class: ( g )

  2. Find the total number of students.

    Total students (=) boys (+) girls

    ( ext{Total} = b + g )

  3. Write what the ratio is asking for.

    We need: boys : total students

    Ratio as a fraction (=) (dfrac{ ext{boys}}{ ext{total}})

  4. Substitute the values.

    ( ext{boys} = b)

    ( ext{total} = b + g)

    So, the ratio (=) (dfrac{b}{,b + g,})

  5. Match with the options.

    (dfrac{b}{,b + g,}) corresponds to Option A.

Quick check: Why other options are not correct?
  • (dfrac{g}{b+g}): This is girls : total, not boys : total.
  • (dfrac{b}{g}): This is boys : girls, not boys : total.
  • (dfrac{b+g}{b}): This is total : boys, the reverse of what we need.
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