A man donated 10%, 20% and 15% 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. 5100, then find the income of man.
Let the income of the man be Rs. x Therefore, sum donated to NGO βAβ = Rs. 0.10x Sum left with NGO βAβ = 0.25 Γ 0.10x = Rs. 0.025x Sum donated to NGO βBβ = Rs. 0.20x Sum left with NGO βBβ = 0.2 Γ 0.20x = Rs. 0.06x Sum donated to NGO βCβ = Rs. 0.15x Sum left with NGO βCβ = 0.5 Γ 0.15x = Rs. 0.075x According to the question, 0.025x + 0.06x + 0.075x = 5100 Or, 0.16x = 5100 Or, x = 5100/0.16 = 31875 Therefore, income of man = Rs. 31875
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