Question
A spent 35% and 30% of his monthly salary on food and
rent, respectively. Of the remaining amount, he gave 24% and 44% 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. 1460.Solution
Let the monthly salary of A be Rs. ‘x’ Amount spent on food = Rs. 0.35x Amount spent on rent = Rs. 0.30x Amount received by brother = (x – 0.30x – 0.35x) × 0.44 = 0.154x So according to question: => 0.30x – 0.154x = 1460 => 0.146x = 1460 => x = 10000 So, the amount spent on food = 0.35 × 10000 = Rs. 3500
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