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    Question

    A man donated 20%, 15% and 24% 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. 6000, then find the income of man.
    A Rs. 35000 Correct Answer Incorrect Answer
    B Rs. 35500 Correct Answer Incorrect Answer
    C Rs. 30000 Correct Answer Incorrect Answer
    D Rs. 45000 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. 0.20x Sum left with NGO β€˜A’ = 0.25 Γ— 0.20x = Rs. 0.05x Sum donated to NGO β€˜B’ = Rs. 0.15x Sum left with NGO β€˜B’ = 0.2 Γ— 0.15x = Rs. 0.03x Sum donated to NGO β€˜C’ = Rs. 0.24x Sum left with NGO β€˜C’ = 0.5 Γ— 0.24x = Rs. 0.12x According to the question, 0.05x + 0.03x + 0.12x = 6000 Or, 0.2x = 6000 Or, x = 6000/0.2 = 30000 Therefore, income of man = Rs. 30000

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