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Question
A plumber can be paid according to the following schemes: In the first scheme he will be paid rupees 500 plus rupees 70 per hour, and in the second scheme he will be paid rupees 120 per hour. If he works x hours, then for what value of x does the first scheme give better wages?
Solution
I scheme with x hr
500 + (x – 1) 70 = 500 + 70x – 70
= 430 + 70x
II scheme with x hours
120x
Here I > II
⇒ 430 + 70x > 120x
⇒ 120x – 70x < 430
50x < 430
`(50x)/50 < 430/50`
x < 8.6 (i.e.) when x is less than 9 hrs the first scheme gives better wages.
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