Question
Income of Rohit is Rs. 46,000. He spent (n - 5)% of
income on food, (n + 3)% of income on rent, (2n - 10)% of income on transport and saves the remaining income. If his savings is Rs. 9,200, then find the amount spent by him on food.Solution
Savings in percentage = (9200/46000) X 100 = 20% So, n - 5 + n + 3 + 2n - 10 = 100 - 20 Or, 4n - 12 = 80 Or, 4n = 92 Or, 'n' = 23 So, (n - 5) = 23 - 5 = 18 Therefore, amount spent by him on food = (0.18 x 46,000) ÷ 23 = Rs. 360n
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