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    Question

    The monthly incomes of Arjun, Rohan, and Sameer are in

    the ratio of 7:9:8, while their monthly expenditures are in the ratio of 3:4:5. Arjun earns Rs. 21,000 per month and saves Rs. 9,000 from his income. Based on this information, determine SameerтАЩs monthly savings.
    A Rs.3,500 Correct Answer Incorrect Answer
    B Rs.4,000 Correct Answer Incorrect Answer
    C Rs.3,500 Correct Answer Incorrect Answer
    D Rs.4,856 Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let monthly income of тАШArjunтАЩ, тАШRohanтАЩ and тАШSameerтАЩ be Rs. тАШ7xтАЩ, Rs. тАШ9xтАЩ and Rs. тАШ8xтАЩ, respectively.
    ATQ;
    тАШ7xтАЩ = 21000
    Or, x = 3000
    So, monthly income of тАШSameerтАЩ = тАШ8x = 8 ├Ч 3000 = Rs. 24,000
    Let monthly expenditures of тАШArjunтАЩ, тАШRohanтАЩ and тАШSameerтАЩ be Rs. тАШ3yтАЩ, Rs. тАШ4yтАЩ and Rs. тАШ5yтАЩ, respectively.
    Monthly savings of тАШArjunтАЩ = Rs. 9,000
    ATQ,
    (21000 тАУ 3y) = 9000
    Or, 3y = 12000
    So, y = 4000
    So, monthly expenditure of тАШSameerтАЩ = 5y = 5 ├Ч 4000 = Rs. 20,000
    Therefore, monthly saving of тАШSameerтАЩ = (24000 тАУ 20000) = Rs. 4,000

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