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Discussion :: Ratio and Proportion

  1. The ratio of income in two consecutive years is 2: 3 respectively. The ratio of their expenditure is 5: 9. Income of second-year is Rs 45000 and Expenditure of first-year is Rs 25000. Find the Savings in both years together.

  2. A.
    5000
    B.
    7000
    C.
    6075
    D.
    8025

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    Answer : Option A

    Explanation :

    Let the First-year income = 2x
    And, Second-year income = 3x
    But ATQ, the second-year income = 45000
    So, x = 45000/3 = 15000
    Then, first-year income = 2*15000=30000

    Similarly,
    Let the first-year expenditure = 5y
    But ATQ, the first-year expenditure =25000
    So, y = 25000/5 = 5000
    Second-year expenditure = 9y= 9* 5000 = 45000

    Apply formula:

    Income = expenditure + savings
    Or, savings = income - expenditure
    Or, first-year savings = 30000- 25000 = 5000
    Similarly,
    Second-year savings = 45000- 45000 = 0

    Now, total saving in two years = first-year savings + second-year savings
    Or, Total saving = 5000+0 = 5000.


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