NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 8: Ratio & Proportion - Multiple Choice Questions
Question 4

Question.  4

Neelam's annual income is Rs. 288000. Her annual savings amount to Rs. 36000. The ratio of her savings to her expenditure is

(A)

1 : 8

(B)

1 : 7

(C)

1 : 6

(D)

1 : 5

Detailed Answer with Explanation:

  1. Given:

    Annual income = ( ext{Rs } 2,88,000 )

    Annual savings = ( ext{Rs } 36,000 )

  2. Find the annual expenditure.

    Expenditure = Income − Savings

    ( ext{Expenditure} = 2,88,000 - 36,000 )

    ( ext{Expenditure} = 2,52,000 )

  3. Write the ratio of Savings : Expenditure.

    ( ext{Savings} : ext{Expenditure} = 36,000 : 2,52,000 )

  4. Simplify the ratio step by step.

    First, cancel common zeros by dividing both numbers by 1,000:

    ( 36,000 div 1,000 = 36 )

    ( 2,52,000 div 1,000 = 252 )

    ( Rightarrow 36 : 252 )

    Now divide both by 6:

    ( 36 div 6 = 6 )

    ( 252 div 6 = 42 )

    ( Rightarrow 6 : 42 )

    Divide both by 6 again:

    ( 6 div 6 = 1 )

    ( 42 div 6 = 7 )

    ( Rightarrow 1 : 7 )

    (You can also directly divide both by 36,000 to get ( 1:7 ) in one step.)

  5. Final Answer: ( 1 : 7 )

    So the correct option is: B

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 8: Ratio & Proportion – Multiple Choice Questions | Detailed Answers