Question
Out of the total income of Amit, he spends 40% on food,
25% on rent and 20% on groceries. Out of the remaining income, he donates 15% in a charity and saves the rest. If Amit saves Rs. 2,550, then find his income.Solution
ATQ, Let the income of Amit be Rs. '100x' Amount spent on food = '100x' X 0.4 = Rs. '40x' Amount spent on rent = '100x' X 0.25 = Rs. '25x' Amount spent on groceries = '100x' X 0.2 = Rs. '20x' Remaining income = ('100x' - '40x' - '25x' - '20x') = Rs. '15x' Savings of Amit = '15x' X 0.85 = 2,550 Or, 12.75x = 2,550 Or, x = 2,550 ÷ 12.75 = 200 Therefore, income of Amit = 100x = 100 X 200 = Rs. 20,000
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