A plumber can be paid under two schemes as given below:I: Rs 600 and R...
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I: &600 fix and &50 per hourNow solving the question,Let the work is done in n hour as per given , So After n hour according to first scheme he will get an amount
= 600+50n After n hour according to second scheme he will get an amount,
=170nNow we are asked for values of n such that scheme
I give better wages so 600+50n >170n600>120nor n <5 .SO if the numbers of hour are less than 5 then he will get better wages by first scheme.
A plumber can be paid under two schemes as given below:I: Rs 600 and R...
Solution:
To find out the values of n for which scheme I will give the plumber better wages, we need to compare the wages earned under both schemes for the given time period.
Under the first scheme, the total wages earned by the plumber will be:
Wages = Fixed amount + Hourly rate x Number of hours
Wages = 600 + 50n
Under the second scheme, the total wages earned by the plumber will be:
Wages = Hourly rate x Number of hours
Wages = 170n
Now, we need to find out the values of n for which Wages(I) > Wages(II). Substituting the above values of wages in the inequality, we get:
600 + 50n > 170n
Solving for n, we get:
n < />
Therefore, the plumber will earn more under Scheme I for n < 12="" hours.="" but="" since="" we="" are="" asked="" to="" find="" the="" values="" of="" n="" for="" which="" scheme="" i="" will="" give="" better="" wages,="" we="" need="" to="" check="" which="" of="" the="" given="" options="" satisfy="" this="" />
a) For n < 4="" hours,="" wages(i)="600" +="" 50n="" />< />
Wages(II) = 170n
Therefore, Wages(II) > Wages(I) for n < 4="" />
b) For n < 5="" hours,="" wages(i)="600" +="" 50n="" />< />
Wages(II) = 170n
Therefore, Wages(II) > Wages(I) for n < 5="" />
c) For n > 5 hours, Wages(I) = 600 + 50n > 850
Wages(II) = 170n
Therefore, Wages(I) > Wages(II) for n > 5 hours.
d) For n = 4 hours, Wages(I) = 800
Wages(II) = 680
Therefore, Wages(I) > Wages(II) for n = 4 hours.
Hence, the correct answer is option (b) i.e., less than 5 hours.