Question
Rajesh spent 30% and 25% of his monthly salary on food
and rent, respectively. Of the remaining amount, he gave 20% and 40% 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. 2240.Solution
Let the monthly salary of Rajesh be Rs. āxā Amount spent on food = Rs. 0.30x Amount spent on rent = Rs. 0.25x Amount received by brother = (x - 0.30x - 0.25x) x 0.40 = 0.18x So according to question: 0.25x - 0.18x = 2240 0.07x = 2240 x = 32000 So, the amount spent on food = 0.30 x 32000 = Rs. 9600
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