The ratio of monthly income of two IT professionals Ram and Shyam is 4 : 5. The ratio of the monthly expenditure of Ram and Shyam is 5 : 7. Each of them saves Rs. 600/month. Find the monthly income of Ram.
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Let monthly income of Ram and Shyam be 4x, 5x.
Let monthly expenditure of Ram and Shyam be 5y, 7y.
4x - 5y = 600 -----> Eq1.
5x - 7y = 600 -----> Eq2.
Multiply Eq1 by 5 and Eq2 by -4.
20x - 25y = 3000
-20x +28y = - 2400
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3y = 600
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y = 200,
Put y = 200 in Eq1.
4x - 5(200) = 600,
4x = 600 + 1000 = 1600,
x = 400,
Hence, the monthly income of Ram = 4x = Rs. 1600.
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