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The monthly incomes of A and B are in t...

The monthly incomes of A and B are in the ratio 5 : 4 and their monthly expenditures are in the ratio 7:5. If each saves ₹ 9000 per month, find the monthly income of each.

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To solve the problem step by step, we will define the variables based on the information given and then set up equations to find the monthly incomes of A and B. ### Step 1: Define the variables for incomes and expenditures Let the monthly income of A be \(5x\) and the monthly income of B be \(4x\), where \(x\) is a common multiplier. Let the monthly expenditure of A be \(7y\) and the monthly expenditure of B be \(5y\), where \(y\) is another common multiplier.

To solve the problem step by step, we will define the variables based on the information given and then set up equations to find the monthly incomes of A and B. ### Step 1: Define the variables for incomes and expenditures Let the monthly income of A be \(5x\) and the monthly income of B be \(4x\), where \(x\) is a common multiplier. Let the monthly expenditure of A be \(7y\) and the monthly expenditure of B be \(5y\), where \(y\) is another common multiplier.
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3E
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  2. A man invested an amount at 10% per annum and another amount at 8% ...

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  3. The monthly incomes of A and B are in the ratio 5 : 4 and their mont...

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  4. A man sold a chair and a table together for Rs.1,520 thereby making a ...

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  5. Points A and B are 70 km. apart on a highway. A car starts from A a...

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  6. A train covered a certain distance at a uniform speed. If the trai...

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  7. Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 3...

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  8. Places A and B are 160 km apart on a highway. One car starts from A ...

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  9. A sailor goes 8 km downstream in 40 minutes and returns in 1 hours....

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  10. A boat goes 12 km upstream and 40 km downstream in 8 hours. It can g...

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  11. 2 women and 5 men can together finish an embroidery work in 4 days, wh...

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  12. The lenght of a room exceeds its breadth by 3 meters. If the lenght...

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  13. The area of rectangle gets reduced by 8m^(2), when its length is r...

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  14. The area of a rectangle gets reduced by 67 square meters, when its l...

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  15. A railways half ticket costs half the full fare and the resrvation ch...

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  16. Five years hence, fathers age will be three times the age of his so...

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  17. Two years ago, a father was five times as old as his son. Two years ...

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  18. If twice the sons age in years is added to the fathers age, the sum ...

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  19. The present age of a woman is 3 years more than three times the age...

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  20. On selling a tea-set 5% loss and a lemon-set at 15% gain, a crockery ...

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