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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.8000, RS.6400RS.7000, RS.5000RS.6000, RS.4800RS.9000, RS.7200RS.2000, RS.1600

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.8000, RS.6400RS.7000, RS.5000RS.6000, RS.4800RS.9000, RS.7200RS.2000, RS.1600

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Solution

To solve this problem, we need to understand that the difference between income and expenses is the savings. Since both SIVA and Anurag save Rs.1200 per month, this means that the difference between their incomes and expenses is the same.

Step 1: Let's denote the common ratio as x. So, the incomes of SIVA and Anurag are 5x and 4x respectively. Similarly, their expenses are 4x and 3x respectively.

Step 2: We know that income - expenses = savings. So, we can set up the following equations:

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

Step 3: Solving these equations, we find that x = 1200.

Step 4: Substituting x = 1200 into the equations for their incomes, we find that SIVA's income is 51200 = Rs.6000 and Anurag's income is 41200 = Rs.4800.

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

This problem has been solved

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