Question
A man donated 22%, 11% and 26% 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. 5175, then find the income of man.Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO βAβ = Rs. 0.22x Sum left with NGO βAβ = 0.25 Γ 0.22x = Rs. 0.055x Sum donated to NGO βBβ = Rs. 0.11x Sum left with NGO βBβ = 0.2 Γ 0.11x = Rs. 0.022x Sum donated to NGO βCβ = Rs. 0.26x Sum left with NGO βCβ = 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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