7th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    The monthly income of X and Y are in the ratio of 4 : 5 and their monthly expenditure are in the ratio 7 : 9. If both save $100 per month then monthly expenditure of X will be:

    A) $ 800                           

    B) $ 700

    C) $ 200

    D) None of these

    Correct Answer: B

    Solution :

    Explanation Income of \[\operatorname{X} = 4x\] and income of \[\operatorname{Y}= 5x\] Expenditure of \[\operatorname{X} = 7y\] and expenditure of \[\operatorname{Y} = 9y\] \[\Rightarrow \,\,\,\,4x-7y=100\]   .......... (i) \[\Rightarrow \,\,\,\,5x-9y=100\]   .......... (ii) On solving (i) and (ii), we get \[\operatorname{x} = 200 and y = 100.\] Thus, expenditure of x will be  $ 700       


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