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    Question

    A man donated 10%, 20% and 15% of his income to three

    NGOs β€˜A’, β€˜B’ and β€˜C’, respectively. They spent 75%, 80% and 50% of respective sums received by them. If total sum left with three NGOs is Rs. 5100, then find the income of man.
    A Rs. 31875 Correct Answer Incorrect Answer
    B Rs. 31075 Correct Answer Incorrect Answer
    C Rs. 31805 Correct Answer Incorrect Answer
    D Rs. 31995 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the income of the man be Rs. x Therefore, sum donated to NGO β€˜A’ = Rs. 0.10x Sum left with NGO β€˜A’ = 0.25 Γ— 0.10x = Rs. 0.025x Sum donated to NGO β€˜B’ = Rs. 0.20x Sum left with NGO β€˜B’ = 0.2 Γ— 0.20x = Rs. 0.06x Sum donated to NGO β€˜C’ = Rs. 0.15x Sum left with NGO β€˜C’ = 0.5 Γ— 0.15x = Rs. 0.075x According to the question, 0.025x + 0.06x + 0.075x = 5100 Or, 0.16x = 5100 Or, x = 5100/0.16 = 31875 Therefore, income of man = Rs. 31875

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