Multiple choice

The ratio of monthly incomes of Pawan and Sunil is 4 : 3 and the ratio of their monthly expenditures is 3 : 2. If Pawan and Sunil save Rs. 4000 and Rs. 6000 respectively per month, then what is the sum of their monthly incomes?

  1. Rs. 60,000

  2. Rs. 70,000

  3. Rs. 50,000

  4. Rs. 36,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Incomes 4x, 3x. Expenses 3y, 2y. 4x - 3y = 4000; 3x - 2y = 6000. Multiply first by 2, second by 3: 8x - 6y = 8000; 9x - 6y = 18000. Subtract: x = 10000. Total income = 7x = 70000.

AI explanation

Let Pawan's income be 4x and Sunil's be 3x, with their expenditures being 3y and 2y. Their savings yield the equations 4x minus 3y equals 4000 and 3x minus 2y equals 6000. Multiplying the first by 2 and the second by 3 gives 8x minus 6y equals 8000 and 9x minus 6y equals 18000. Subtracting the first from the second gives x equals 10000. The sum of their incomes is 4x plus 3x, which is 7x, resulting in Rs. 70,000.

Keep practicing — related questions