Question
Income of Deepak is Rs. 48,000. He spent (n - 7)% of
income on food, (n + 5)% of income on rent, (2n - 6)% of income on transport and saves the remaining income. If his savings is Rs. 7,680, then find the amount spent by him on food.Solution
Savings in percentage = (7680/48000) X 100 = 16% So, n - 7 + n + 5 + 2n - 6 = 100 - 16 Or, 4n - 8 = 84 Or, 4n = 92 Or, 'n' = 23 So, (n - 7) = 23 - 7 = 16 Therefore, amount spent by him on food = (0.16 x 48,000) ÷ 23 = Rs. 320n
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