Multiple choice

Annual express of Subhas and Ganesh are in the ratio of 5 : 4. Their savings are in the ratio 3 : 2. Find the expenditure of Subash given that the income of Subash and Ganesh is Rs 15500 and 12000 respectively.

  1. 12500

  2. 10000

  3. 2500

  4. 5000
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A Correct answer
Explanation

Income of Subhas is 15500. Income ratio is 5:4, so 5 units = 15500, meaning 1 unit = 3100. Ganesh's income is 4 * 3100 = 12400 (note: question says 12000, but we use the ratio). Savings ratio 3:2 implies savings are 3k and 2k. Expenditure = Income - Savings. This problem has inconsistent data.

AI explanation

Because the income and savings ratios differ, the expenditures cannot be accurately found using ratio subtraction, so we must calculate the absolute values directly. Subhash's actual savings can be found by equating the savings ratios to absolute amounts: 3x = 3000, so x = 1000, meaning Subhash saves Rs. 3000. Subtracting this from his income of Rs. 15500 gives his expenditure: 15500 - 3000 = Rs. 12500. The result is 12500.

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