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    Question

    A man donated 10%, 16% and 28% 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. 5910, then find the income of man.
    A Rs. 20000 Correct Answer Incorrect Answer
    B Rs. 22000 Correct Answer Incorrect Answer
    C Rs. 30000 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. 0.10x Sum left with NGO β€˜A’ = 0.25 Γ— 0.10x = Rs. 0.025x Sum donated to NGO β€˜B’ = Rs. 0.16x Sum left with NGO β€˜B’ = 0.2 Γ— 0.16x = Rs. 0.032x Sum donated to NGO β€˜C’ = Rs. 0.28x Sum left with NGO β€˜C’ = 0.5 Γ— 0.28x = Rs. 0.14x According to the question, 0.025x + 0.032x + 0.14x = 5910 Or, 0.197x = 5910 Or, x = 5910/0.197 = 30000 Therefore, income of man = Rs. 30000

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