Question
A man donated 20%, 15% and 24% of his income to three
NGOs βAβ, βBβ and βCβ, 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.Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO βAβ = Rs. 0.20x Sum left with NGO βAβ = 0.25 Γ 0.20x = Rs. 0.05x Sum donated to NGO βBβ = Rs. 0.15x Sum left with NGO βBβ = 0.2 Γ 0.15x = Rs. 0.03x Sum donated to NGO βCβ = Rs. 0.24x Sum left with NGO βCβ = 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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