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    A spends 45% of his salary on food and donates 5 % of his salary on old age homes. If he spends Rs.28,500 on food and old age homes, then what will be
    Question

    A spends 45% of his salary on food and donates 5 % of his salary on old age homes. If he spends Rs.28,500 on food and old age homes, then what will be the salary of A?

    A.

    Rs.52,000

    B.

    Rs.57,000

    C.

    Rs. 50,000

    D.

    Rs.55,000

    Correct option is B

    Given:
    A spends 45% of his salary on food
    A donates 5% of his salary to old age homes
    The total amount A spends on food and old age homes is Rs. 28,500
    Solution:
    Let the salary of A as 'A'.
    Spends on food and old age homes is 45% + 5% = 50% of A
    50% of A = Rs. 28,500
    S = Rs. 28,50050%\frac{\text{Rs. } 28,500}{50\%}​​
    S = Rs. 57,000
    Therefore, the salary of A is Rs. 57,000.

    Alternate Method:
    Let the total income of A be 100 units
    So,
    Remaining income after Spending Salary on food and old age = {100 – (45 + 5)} = 50 units
    50 units 50 units
    50 units → Rs. 28500
    100 units → Rs. 57000

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