Question

    A man donated 22%, 11% and 26% 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. 5175, then find the income of man.
    A Rs. 23000 Correct Answer Incorrect Answer
    B Rs. 24500 Correct Answer Incorrect Answer
    C Rs. 25000 Correct Answer Incorrect Answer
    D Rs. 29500 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. 0.22x Sum left with NGO β€˜A’ = 0.25 Γ— 0.22x = Rs. 0.055x Sum donated to NGO β€˜B’ = Rs. 0.11x Sum left with NGO β€˜B’ = 0.2 Γ— 0.11x = Rs. 0.022x Sum donated to NGO β€˜C’ = Rs. 0.26x Sum left with NGO β€˜C’ = 0.5 Γ— 0.26x = Rs. 0.13x According to the question, 0.055x + 0.022x + 0.13x = 5175 Or, 0.207x = 5175 Or, x = 5175/0.207 = 25000 Therefore, income of man = Rs. 25000

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