Question
Rajesh spent 30% and 24% of his monthly salary on food
and rent, respectively. Of the remaining amount, he gave 20% and 25% 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. 4500.Solution
Let the monthly salary of Rajesh be Rs. ‘x’ Amount spent on food = Rs. 0.30x Amount spent on rent = Rs. 0.24x Amount received by brother = (x - 0.30x - 0.24x) x 0.25 = 0.115x So according to question: 0.24x - 0.115x = 4500 0.125x = 4500 x = 36000 So, the amount spent on food = 0.30 x 36000 = Rs. 10800
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