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    Bhavani spends 68% of her income. Her income increases by 15% and her expenditure increases by 10%. How much is the increase in the percentage of savi
    Question

    Bhavani spends 68% of her income. Her income increases by 15% and her expenditure increases by 10%. How much is the increase in the percentage of saving? (Use decimal up to 2 digits)

    A.

    24.80%

    B.

    20.57%

    C.

    28.42%

    D.

    25.62%

    Correct option is D

    Given:
    Bhavani spends 68% of her income.
    Her income increases by 15%.
    Her expenditure increases by 10%.
    Solution:
    Initial Income ( I ) = 100 units .
    Initial Expenditure (E) = 68% of I=0.68×100=68 units68\% \text{ of } I = 0.68 \times 100 = 68 \text{ units}
    Initial Savings (S) = I - E = 100 - 68 = 32 units
    New Income (Inew)I_{\text{new}})​:
    Inew=I+15% of I=100+0.15×100=115 unitsI_{\text{new}} = I + 15\% \text{ of } I = 100 + 0.15 \times 100 = 115 \text{ units}​​
    New Expenditure (Enew):E_{\text{new}} ):​​
    Enew=E+10% of E=68+0.10×68=68+6.8=74.8 unitsE_{\text{new}} = E + 10\% \text{ of } E = 68 + 0.10 \times 68 = 68 + 6.8 = 74.8 \text{ units}​​

    Snew=InewEnew=11574.8=40.2 unitsS_{\text{new}} = I_{\text{new}} - E_{\text{new}} = 115 - 74.8 = 40.2 \text{ units}​​

    Increase in Savings  =SnewS=40.232=8.2 units S_{\text{new}} - S = 40.2 - 32 = 8.2 \text{ units}
    Percentage Increase  =​=(8.232)×10025.62% = \left( \frac{8.2}{32} \right) \times 100 \approx25.62\%​​

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