Multiple choice

A and B have monthly income in the ratio 6 : 5 and their monthly expenditure in the ratio 4 : 3. If they save Rs. 1600 and Rs. 1800 respectively per month, then the monthly income of B is-

  1. Rs.5800

  2. Rs.6000

  3. Rs.6400

  4. Rs.7200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's income=6x, expenditure=4y; B's income=5x, expenditure=3y. Savings: 6x-4y=1600, 5x-3y=1800. Solving: Multiply first equation by 3: 18x-12y=4800. Multiply second by 4: 20x-12y=7200. Subtract: 2x=2400, x=1200. B's income=5x=5(1200)=Rs.6000. This is a classic ratio problem requiring simultaneous equations or elimination method.

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