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in Linear Equations by (33.6k points)
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Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was ₹ 4500 and after 10 years his monthly salary became ₹ 5400, then find his original salary and yearly increment.

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Let the original salary of Sanjay be ₹ ‘x’ and his yearly increment be ₹ ‘y’.

According to the first condition, after 4 years his monthly salary was ₹ 4500 

∴ x + 4y = 4500 …..(i)

 According to the second condition, 

after 10 years his monthly salary became ₹ 5400

 ∴ x + 10y = 5400 …(ii)

Subtracting equation (i) from (ii),

∴ y = 150 

Substituting y = 150 in equation (i),

x + 4y = 4500 

∴ x +4(150) = 4500 

∴ x + 600 = 4500 

∴ x = 4500 – 600 = 3900 

∴ The original salary of Sanjay is ₹ 3900 and his yearly increment is ₹ 150.

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