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A plumber can be paid under two schemes as given below:
I: Rs 600 and Rs 50 per hour.
II: Rs 170 per hour.
If the job takes n hours, then the values of n for which the scheme I will give the plumber better wages are
  • a)
    less than 4 hours
  • b)
    less than 5 hours
  • c)
    more than 5 hours
  • d)
    4 hours
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A plumber can be paid under two schemes as given below:I: Rs 600 and R...
Your question is not complete it should be,
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.
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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.
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A plumber can be paid under two schemes as given below:I: Rs 600 and Rs 50 per hour.II: Rs 170 per hour.If the job takes n hours, then the values of n for which the scheme I will give the plumber better wages area)less than 4 hoursb)less than 5 hoursc)more than 5 hoursd)4 hoursCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A plumber can be paid under two schemes as given below:I: Rs 600 and Rs 50 per hour.II: Rs 170 per hour.If the job takes n hours, then the values of n for which the scheme I will give the plumber better wages area)less than 4 hoursb)less than 5 hoursc)more than 5 hoursd)4 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plumber can be paid under two schemes as given below:I: Rs 600 and Rs 50 per hour.II: Rs 170 per hour.If the job takes n hours, then the values of n for which the scheme I will give the plumber better wages area)less than 4 hoursb)less than 5 hoursc)more than 5 hoursd)4 hoursCorrect answer is option 'B'. Can you explain this answer?.
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