Question

A plumber can be paid under two schemes as given below:-
Scheme I:- Rs. $500$ and Rs. $70$ per hour.
Scheme II:- Rs. $120$ per hour.
If the job takes x hours for how many values of x does the Scheme I give the plumber the better wages? (x is a natural number)

Answer 1

Given x hours

$\therefore$ The wage earned according to scheme 1 is $500+70\times x$

The wage earned according to scheme 2 is $120\times x$

For scheme 1 to be better

$\Rightarrow 500+70\times x>120\times x$

$\Rightarrow 50\times x<500$ that is $x<10$

$\Rightarrow$for x= 1 to 9 hours scheme 1 is better therefore the total values of x are 9