Multiple choice

The ratio of incomes of two persons is 4 : 6 and the ratio of their expenditures is 2 : 5. If each of them manages to save Rs. 400 per month, find the monthly income of the first person.

  1. Rs. 600

  2. Rs. 200

  3. Rs. 500

  4. Rs. 650

  5. NA
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A Correct answer
Explanation

Income ratio 4x:6x. Expenditure ratio 2y:5y. 4x - 2y = 400 and 6x - 5y = 400. Multiply first by 2.5: 10x - 5y = 1000. Subtract second: 4x = 600. Income of first person is 4x = 600.

AI explanation

Let the incomes of the two persons be 4x and 6x, and their expenditures be 2y and 5y. Since both save Rs. 400, we set up the equations 4x - 2y = 400 and 6x - 5y = 400. Multiplying the first equation by 2.5 gives 10x - 5y = 1000, and subtracting the second equation from this yields 4x = 600. Therefore, the monthly income of the first person is Rs. 600.

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