Multiple choice

Incomes of X and Y are in the ratio 15 : 13. Their expenditures are in the ratio 13 : 11. If both save Rs. 9,600 at the end of the month, then what is the income (in Rs.) of X?

  1. 62,400

  2. 52,800

  3. 80,400

  4. 72,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let incomes be 15k and 13k, and expenditures be 13m and 11m. Savings are 15k - 13m = 9600 and 13k - 11m = 9600. Solving this system gives k = 4800, so X's income is 15 * 4800 = 72000.

AI explanation

Let the incomes of X and Y be 15x and 13x, and their expenditures be 13y and 11y. Since both save Rs. 9600, we have 15x - 13y = 9600 and 13x - 11y = 9600. Equating the expressions for their savings gives 15x - 13y = 13x - 11y, which simplifies to 2x = 2y, or x = y. Substituting x for y in the first equation gives 15x - 13x = 9600, so 2x = 9600 and x = 4800. The income of X is 15x, which is 15 * 4800 = 72000. The required income is Rs. 72000.

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