Question
A spent 35% and 20% of his monthly salary on food and
rent, respectively. Of the remaining amount, he gave 15% and 20% to his mother and brother, respectively. Find the amount spent by him on food, if the difference between the amount received by his brother and the amount spent on rent is Rs. 1650.Solution
Let the monthly salary of A be Rs. βxβ Amount spent on food = Rs. 0.35x Amount spent on rent = Rs. 0.20x Amount received by brother = (x β 0.20x β 0.35x) Γ 0.20 = 0.09x So according to question: => 0.20x β 0.09x = 1650 => 0.11x = 1650 => x = 15000 So, the amount spent on food = 0.35 Γ 15000 = Rs. 5250
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