Question
Individuals A and B have their incomes in the ratio of 5
to 3, while the ratio of their expenditures stands at 3 to 4, respectively. A saves Rs. 43,000 and B saves Rs. 6,000. It is also known that both A and B spend 25% of their respective incomes on food. Based on this information, determine the combined amount that A and B spend on all other items excluding food.Solution
Let the incomes of ‘A’ and ‘B’ be Rs. 5x and Rs. 3x, respectively Let their expenditures be Rs. 3y and 4y, respectively According to the question, 5x – 3y = 43000….. (1) And, 3x – 4y = 6000…. (2) On solving equation (1) and (2), we get x = 14000 and y = 9000 Amount spent by ‘A’ and ‘B’, together on food = 0.25(5x + 3x) = Rs. 28000 Required expenditure = (3y + 4y) – 28000 = Rs. 35000
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