Multiple choice

The monthly incomes of S and V are in the ratio of 7 : 5. Their monthly expenditures are in the ratio of 5 : 4. If the savings of S and V are Rs. 2000 and Rs. 1000 respectively, find the income of V?

  1. 7000

  2. 3000

  3. 5000

  4. 2950

  5. 2990
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let incomes be 7x and 5x. Expenditures are 5y and 4y. 7x - 5y = 2000 and 5x - 4y = 1000. Solving the system: 28x - 20y = 8000 and 25x - 20y = 5000. Subtracting gives 3x = 3000, so x = 1000. Income of V = 5x = 5000.

AI explanation

Let the incomes of S and V be 7x and 5x, and their expenditures be 5y and 4y. Their savings are (7x - 5y) = 2000 and (5x - 4y) = 1000. Multiplying the second equation by 5 and the first by 4 gives 25x - 20y = 5000 and 28x - 20y = 8000. Subtracting the first from the second gives 3x = 3000, so x = 1000. V's income is 5x, which equals Rs. 5000.

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