Question
A man donated 10%, 16% and 28% 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. 5910, 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. 0.16x Sum left with NGO ‘B’ = 0.2 × 0.16x = Rs. 0.032x Sum donated to NGO ‘C’ = Rs. 0.28x Sum left with NGO ‘C’ = 0.5 × 0.28x = Rs. 0.14x According to the question, 0.025x + 0.032x + 0.14x = 5910 Or, 0.197x = 5910 Or, x = 5910/0.197 = 30000 Therefore, income of man = Rs. 30000
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