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    The income of Raman is Rs. 75400. He saves 23% of his income. If his income increases by 27% and expenditure increases by 50%, then his savings will:
    Question

    The income of Raman is Rs. 75400. He saves 23% of his income. If his income increases by 27% and expenditure increases by 50%, then his savings will:

    A.

    decrease by Rs. 8671

    B.

    increase by Rs. 8670

    C.

    increase by Rs. 8667

    D.

    decrease by Rs. 8666

    Correct option is A

    ​Given:
    Income of Raman = Rs. 75,400
    Savings = 23% of income
    Income increases by 27%
    Expenditure increases by 50%
    Formula Used:
    Savings = Income − Expenditure
    Expenditure = Income − Savings
    New income = Old income × (1 + % increase)
    New expenditure = Old expenditure × (1 + % increase)
    New savings = New income − New expenditure
    Percentage change in savings = (Change in savings / Old savings) × 100
    Solution:
    Old savings=23100×75,400=17,342 = \frac{23}{100} \times 75,400 = 17,342 \\​​
    Old expenditure = 75,400 - 17,342 = 58,058 
    New income = 75,400×1.27=95,758 75,400 \times 1.27 = 95,758 ​​
    New expenditure = 58,058×1.5=87,08758,058 \times 1.5 = 87,087 \\​​
    New savings = 95,758 - 87,087 = 8,671 
    Change in savings = 8,671 - 17,342 = 8,671 

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