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    A family spends 20% of its monthly income on house rent. Out of the remaining amount, the family spends 50% on household expenditure and 20% on childr
    Question

    A family spends 20% of its monthly income on house rent. Out of the remaining amount, the family spends 50% on household expenditure and 20% on children's education. If after doing so, its monthly saving is Rs. 6,600, then what is the total monthly income of the family?

    A.

    Rs. 25,000

    B.

    Rs. 27,500

    C.

    Rs. 30,000

    D.

    Rs. 28,000

    Correct option is B

    Given:
    20% of the monthly income is spent on house rent.
    50% of the remaining income is spent on household expenditure.
    20% of the remaining income is spent on children's education.
    The monthly saving is Rs. 6,600.
    Concept Used:
    The total monthly income is divided into different portions based on the percentages given for rent, household expenditure, children's education, and savings.​
    Solution:
    Let the income =100 unit
    20% spends on house rent = 20% of 100 = 20 unit
    Remaining amount = 100-20 = 80 unit
    50% of remaining on household expenditure = 50% of 80 = 40 unit
    20% of remaining on children's education = 20% of 80 = 16 unit
    Total Savings = Total Income - Total Expenses
    Total Savings = 100- (20+ 40 +16) = 24 unit
    24 unit = Rs. 6600
    100 unit = Rs. 27500​​

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