Question
A man donated 8%, 22% and 26% 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. 7760, then find the income of man.Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO ‘A’ = Rs. 0.8x Sum left with NGO ‘A’ = 0.25 × 0.8x = Rs. 0.02x Sum donated to NGO ‘B’ = Rs. 0.22x Sum left with NGO ‘B’ = 0.2 × 0.22x = Rs. 0.044x Sum donated to NGO ‘C’ = Rs. 0.26x Sum left with NGO ‘C’ = 0.5 × 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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