Work and Wages
- Ram can do a work in 9 days and Shyam in 15 days. If both work together to complete the work, in what ratio should the total earnings be shared?
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Given that :- Ram can do a work = 9 days
And Shyam can do a work = 15 daysA’s share : B’s share = 1 : 1 9 15
Correct Option: B
Given that :- Ram can do a work = 9 days
And Shyam can do a work = 15 daysA’s share : B’s share = 1 : 1 = 5 : 3 9 15
- A, B and C undertake to complete a piece of work for ₹ 2574. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does C get?
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Given in the question ,
A can complete work in 1 day = 1 8 B can complete work in 1 day = 1 9 And C can complete work in 1 day = 1 12
Ratio of daily wages of A , B and C = 3 : 5 : 4
Now A for 8 days, B for 9 days and C for 12 days of wages = 3 x 8 : 5 x 9 : 4 x 12 = 24 : 45 : 48
wages of A , B and C = 8 : 15 : 16
Correct Option: D
Given in the question ,
A can complete work in 1 day = 1 8 B can complete work in 1 day = 1 9 And C can complete work in 1 day = 1 12
Ratio of daily wages of A , B and C = 3 : 5 : 4
Now A for 8 days, B for 9 days and C for 12 days of wages = 3 x 8 : 5 x 9 : 4 x 12 = 24 : 45 : 48
wages of A , B and C = 8 : 15 : 16
We have total wages = 8k + 15k + 16k = 2574
⇒ 39k = 2574 ⇒ k = 2574/39 = 66
∴ Share of C = 16k = 16 x 66 = ₹ 1056
- Wage of 10 women for 5 days is ₹ 1250. The daily wage of a man is twice that of a woman. How many men must work for 8 days to earn ₹ 1600?
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Given that :- Wage of Men : Wage of Women = 2 : 1
Wage of 10 women for 5 days = ₹ 1250.Wage of 1 woman for 1 day = ₹ 1250 = ₹ 25 10 x 5
According to question ,
Wage of 1 man for 1 day = 2 x Wage of 1 woman for 1 day
Wage of 1 man for 1 day = ₹ 2 x 25 = ₹ 50
Wage of 1 man for 8 day = ₹ 2 x 25 = ₹ 50 x 8 = ₹ 400
Correct Option: D
Given that :- Wage of Men : Wage of Women = 2 : 1
Wage of 10 women for 5 days = ₹ 1250.Wage of 1 woman for 1 day = ₹ 1250 = ₹ 25 10 x 5
According to question ,
Wage of 1 man for 1 day = 2 x Wage of 1 woman for 1 day
Wage of 1 man for 1 day = ₹ 2 x 25 = ₹ 50
Wage of 1 man for 8 day = ₹ 2 x 25 = ₹ 50 x 8 = ₹ 400Number of men = 1600 = 4 400
Hence , required number of men will be 4 .
- A and B undertake to do a work together for ₹ 600. A alone can do it in 15 days and B in 20 days. But with the assistance of C they finish it in 5 days. How is the money to be divided among them?
A , B and C
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Given :- A's one day work = 1 15 B's one day work = 1 20
C’s one day’s work = 1/5 - (1/15 + 1/20) = 5/60.C's one day work = 1 12
Thus the ratio of efficiencies of A, B and C is 1/15 : 1/20 : 1/12 = 4 : 3 : 5
Correct Option: C
Given :- A's one day work = 1 15 B's one day work = 1 20
C’s one day’s work = 1/5 - (1/15 + 1/20) = 5/60.C's one day work = 1 12
Thus the ratio of efficiencies of A, B and C is 1/15 : 1/20 : 1/12 = 4 : 3 : 5∴ A ’s share = 4 × 600 = ₹ 200 12 B ’s share = 3 × 600 = ₹ 150 12 And C ’s share = 5 × 600 = ₹ 250 12
- A person was appointed for a 50 days job on a condition that he will be paid ₹ 12 for every working day but he will be fined ₹ 6 for every day he remains absent. After the completion of the work, he got ₹ 420. For how many days. he did not work?
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Let the person did not work for x days.
It means that he worked for (50 - x) days.
∴ Find for being absent = ₹ 6x
Wages for working days = 12 (50 - x)
According to the question,
Received wages = 12(50 - x) - 6x = 420Correct Option: C
Let the person did not work for x days.
It means that he worked for (50 - x) days.
∴ Find for being absent = ₹ 6x
Wages for working days = 12 (50 - x)
According to the question,
Received wages = 12(50 - x) - 6x = 420
⇒ 600 - 12x - 6x = 420
⇒ 18x = 600 - 420 = 180
∴ x = 180/18 = 10 days
