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Question

An employer finds that if he increases the weekly wages of each worker by Rs 5 and employer five workers less, he increases his weekly wage bill from Rs 3,150 to Rs 3,250. Then find the weekly wages of each worker.

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Solution

Let the number of workers=x
Let the weekly wage of the worker =y Rs
Given
xy=3150 ........i)
Also by the problem,
(x5)(y+5)=3250
xy5y+5x25=3250
or, xy=25 [ Using (i)] .....ii)
Solving i) and ii)
y(y+5)=3150
y²+25y3150=0
y=45 or y=70 (not possible)
Hence the weekly wage of the workers is Rs 45.

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