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    Question

    A man donated 25%, 13% and 27% 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. 4470, then find the income of man.
    A Rs. 20000 Correct Answer Incorrect Answer
    B Rs. 22000 Correct Answer Incorrect Answer
    C Rs. 23000 Correct Answer Incorrect Answer
    D Rs. 28000 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. 0.25x Sum left with NGO β€˜A’ = 0.25 Γ— 0.25x = Rs. 0.0625x Sum donated to NGO β€˜B’ = Rs. 0.13x Sum left with NGO β€˜B’ = 0.2 Γ— 0.13x = Rs. 0.026x Sum donated to NGO β€˜C’ = Rs. 0.27x Sum left with NGO β€˜C’ = 0.5 Γ— 0.27x = Rs. 0.135x According to the question, 0.0625x + 0.026x + 0.135x = 4470 Or, 0.2235x = 4470 Or, x = 4470/0.2235 = 20000 Therefore, income of man = Rs. 20000

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