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Monthly incomes of SIVA and Anurag are in the ratio 5:4 and their expenses are in the ratio 4:3. if each of them saves Rs.1200 at the end of the month, their monthly incomes respectively areOptionsRS.9000, RS.7200RS.2000, RS.1600RS.8000, RS.6400RS.7000, RS.5000RS.6000, RS.4800

Question

Monthly incomes of SIVA and Anurag are in the ratio 5:4 and their expenses are in the ratio 4:3. if each of them saves Rs.1200 at the end of the month, their monthly incomes respectively areOptionsRS.9000, RS.7200RS.2000, RS.1600RS.8000, RS.6400RS.7000, RS.5000RS.6000, RS.4800

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Solution

Let's solve this step by step:

  1. The ratio of SIVA's income to Anurag's income is 5:4. Let's assume SIVA's income is 5x and Anurag's income is 4x.

  2. The ratio of SIVA's expenses to Anurag's expenses is 4:3. Let's assume SIVA's expenses are 4y and Anurag's expenses are 3y.

  3. We know that income - expenses = savings. So, we can set up the following equations based on the information given:

    For SIVA: 5x - 4y = 1200 For Anurag: 4x - 3y = 1200

  4. Now we have a system of two equations, and we can solve it to find the values of x and y.

  5. If we subtract the second equation from the first, we get: x - y = 0, which means x = y.

  6. Substituting y = x into the first equation gives: 5x - 4x = 1200, which simplifies to x = 1200.

  7. Therefore, SIVA's income is 5x = 51200 = 6000 and Anurag's income is 4x = 41200 = 4800.

So, the correct option is RS.6000, RS.4800.

This problem has been solved

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