Question
A man donated 11%, 13% and 21% 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. 4755, then find the income of man.
Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO ‘A’ = Rs. 0.11x Sum left with NGO ‘A’ = 0.25 × 0.11x = Rs. 0.0275x Sum donated to NGO ‘B’ = Rs. 0.13x Sum left with NGO ‘B’ = 0.2 × 0.13x = Rs. 0.026x Sum donated to NGO ‘C’ = Rs. 0.21x Sum left with NGO ‘C’ = 0.5 × 0.21x = Rs. 0.105x According to the question, 0.0275x + 0.026x + 0.105x = 4755 Or, 0.1585x = 4755 Or, x = 4755/0.1585 = 30000 Therefore, income of man = Rs. 30000
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