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The incomes of X and Y are in the ratio 5 : 6 and their expenditure are in the ratio 6 : 5. If X saves Rs. 7000 and Y saves Rs. 15000, then what will be the income (in Rs.) of X?
- A28000
- B20000
- C25000
- D24000
Answer not set
Discussion 1
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CCommunity
Let the income of X and Y be 5a and 6a and expenditure of X and Y be 6b and 5b.
X saves 7000 and Y saves 15000. Then
5a - 6b = 7000 ----(1)
6a - 5b = 15000 ----(2)
Equation (1) + equation (2), we get
a - b = 2000 ----(3)
And equation (2) - equation (1), we get
a + b = 8000 ----(4)
Solving equation (3) and equation (4) we get
a = 5000 & b = 3000
∴ Income of X = 5 × 5000 = 25000
X saves 7000 and Y saves 15000. Then
5a - 6b = 7000 ----(1)
6a - 5b = 15000 ----(2)
Equation (1) + equation (2), we get
a - b = 2000 ----(3)
And equation (2) - equation (1), we get
a + b = 8000 ----(4)
Solving equation (3) and equation (4) we get
a = 5000 & b = 3000
∴ Income of X = 5 × 5000 = 25000