Question
A man donated 8%, 22% 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. 7760, then find the income of man.Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO βAβ = Rs. 0.8x Sum left with NGO βAβ = 0.25 Γ 0.8x = Rs. 0.02x Sum donated to NGO βBβ = Rs. 0.22x Sum left with NGO βBβ = 0.2 Γ 0.22x = Rs. 0.044x 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, 0.02x + 0.044x + 0.13x = 7760 Or, 0.194x = 7760 Or, x = 7760/0.194 = 40000 Therefore, income of man = Rs. 40000
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