Question
A man donated 10%, 20% and 15% of his income to three
NGOs ‘A’, ‘B’ and ‘C’, 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.Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO ‘A’ = Rs. 0.10x Sum left with NGO ‘A’ = 0.25 × 0.10x = Rs. 0.025x Sum donated to NGO ‘B’ = Rs. 0.20x Sum left with NGO ‘B’ = 0.2 × 0.20x = Rs. 0.06x Sum donated to NGO ‘C’ = Rs. 0.15x Sum left with NGO ‘C’ = 0.5 × 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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