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?

Answer 1

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.