Select the correct answerMonthly 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
Select the correct answerMonthly 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
Solution
The problem can be solved by using the concept of ratios.
Step 1: We know that the ratio of SIVA's income to Anurag's income is 5:4. Let's assume the common multiplier to be 'x'. So, SIVA's income is 5x and Anurag's income is 4x.
Step 2: Similarly, their expenses are in the ratio 4:3. Let's assume the common multiplier here to be 'y'. So, SIVA's expenses are 4y and Anurag's expenses are 3y.
Step 3: We also know that each of them saves Rs.1200 at the end of the month. This means that their income minus their expenses equals their savings. So, we can set up the following equations:
5x - 4y = 1200 (This is for SIVA) 4x - 3y = 1200 (This is for Anurag)
Step 4: Now, we can solve these two equations simultaneously to find the values of 'x' and 'y'.
By solving these equations, we find that x = 2000 and y = 800.
Step 5: Substituting x = 2000 in 5x and 4x, we get SIVA's income as Rs.10000 and Anurag's income as Rs.8000.
So, the correct answer is not in the options given. There seems to be a mistake in the problem or the options provided.
Similar Questions
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