Multiple choice

The ratio of Income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 1300 and Rs. 900 respectively. Then find the Income of each person ? यदि दो व्यक्तियों की मासिक आय 5 : 3 और उसका खर्च 9: 5 के अनुपात में है। यदि वे क्रमशः रू. 1300 और रू. 900 की बचत करते हैं, तो उनकी आय ज्ञात करें ?

  1. 4000, 2400

  2. 3000, 1800

  3. 5000, 3000

  4. 4500, 2700
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A Correct answer
Explanation

Let incomes be 5x and 3x, expenditures be 9y and 5y. Savings: 5x - 9y = 1300 and 3x - 5y = 900. From second equation: 3x = 900 + 5y. Substituting in first: 5(900 + 5y)/3 - 9y = 1300. Solving gives y = 300, then x = 800. Incomes: 5 × 800 = 4000, 3 × 800 = 2400.

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