Question

In a factory the ratio of salary of skilled and unskilled workers is 5:3. Total salary of one day of both of them is ₹ 720. Find daily wages of skilled and unskilled workers.
(Solve this problem by 'linear equation in two variables')​

Answer 1

Answer:

Let the daily wages of skilled workers be Rs. x that of unskilled workers be Rs. y.

According to the first condition,

x/y = 5/3

∴ 3x = 5y 

∴ 3x - 5y = 0             .....(i)

According to the secound condition,

x + y = 720

∴ 5x + 5y = 3600      ....(ii)    [ Multiplying both sides by 5 ]

Adding equations (i) and (ii), we get



∴ x = 3600/8 = 450

Substituting x = 450 in equation (i), wwe get

3(450) - 5y = 0

∴ 1350 = 5y 

∴  y= 1350/5 = 270

∴ The daily wages of skilled workers is Rs. 450 and that of unskilled workers is Rs. 270.

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