Income ratio of Ramesh and Suresh is 5:6.Their spending ratio is 7:9. Ramesh saves 4000 and Suresh saves 3000.Income and spending respectively of Ramesh and Suresh are:Ramesh:- 25000, 21000; Suresh:- 30000, 27000Ramesh:- 36000, 32000; Suresh:- 30000, 27000Ramesh:- 30000, 27000; Suresh:- 36000, 32000None of the above
Question
Income ratio of Ramesh and Suresh is 5:6.Their spending ratio is 7:9. Ramesh saves 4000 and Suresh saves 3000.Income and spending respectively of Ramesh and Suresh are:Ramesh:- 25000, 21000; Suresh:- 30000, 27000Ramesh:- 36000, 32000; Suresh:- 30000, 27000Ramesh:- 30000, 27000; Suresh:- 36000, 32000None of the above
Solution
Let's solve this step by step:
Step 1: The income ratio of Ramesh and Suresh is 5:6. This means if Ramesh earns 5x, Suresh earns 6x.
Step 2: The spending ratio of Ramesh and Suresh is 7:9. This means if Ramesh spends 7y, Suresh spends 9y.
Step 3: We know that Ramesh saves 4000 and Suresh saves 3000. Savings can be calculated as income - spending. So, we have:
5x - 7y = 4000 (equation 1 for Ramesh) 6x - 9y = 3000 (equation 2 for Suresh)
Step 4: We can solve these two equations to find the values of x and y. Multiply equation 1 by 6 and equation 2 by 5, we get:
30x - 42y = 24000 30x - 45y = 15000
Subtract the second equation from the first, we get:
3y = 9000
So, y = 3000.
Step 5: Substitute y = 3000 into equation 1, we get:
5x - 7*3000 = 4000 5x = 4000 + 21000 5x = 25000 x = 5000
Step 6: Now we can calculate the income and spending of Ramesh and Suresh:
Income of Ramesh = 5x = 55000 = 25000 Spending of Ramesh = 7y = 73000 = 21000
Income of Suresh = 6x = 65000 = 30000 Spending of Suresh = 9y = 93000 = 27000
So, the income and spending respectively of Ramesh and Suresh are: Ramesh: 25000, 21000; Suresh: 30000, 27000.
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