Work and Wages
- Shantanu can do a piece of work in 12 days and Manu can do the same work in 10 days. If they work together, in what ratio Shantanu and Manu will receive their wages?
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Shantanu's 1 day's work = 1/2
Manu's 1 day's work =1/10
Shantanu's share : Manu's share =(1/12) : (1/10)Correct Option: A
Shantanu's 1 day's work = 1/2
Manu's 1 day's work =1/10
Shantanu's share : Manu's share =(1/12) : (1/10)
= (5/60) : (6/60)
= 5 : 6
- 3 persons undertake to complete a piece of work for $1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?
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Let the fourth person complete the entire work in D days.
Given :- Total amount = $1,200
Now, according to the question,3 + 3 + 3 + 3 = 1 8 12 16 D ⇒ 1 = 1 - 1 - 1 - 1 = 16 - 6 - 4 - 3 = 1 D 3 8 12 16 48 16
∴ D = 16Ratio of wages = 1 : 1 : 1 : 1 = 6 : 4 : 3 : 3 8 12 16 16
Sum of ratios = 6 + 4 + 3 + 3 = 16∴ Fourth person’s share = Fourth person’s ratio x Total amount Sum of all ratios
Correct Option: C
Let the fourth person complete the entire work in D days.
Given :- Total amount = $1,200
Now, according to the question,3 + 3 + 3 + 3 = 1 8 12 16 D ⇒ 1 = 1 - 1 - 1 - 1 = 16 - 6 - 4 - 3 = 1 D 3 8 12 16 48 16
∴ D = 16Ratio of wages = 1 : 1 : 1 : 1 = 6 : 4 : 3 : 3 8 12 16 16
Sum of ratios = 6 + 4 + 3 + 3 = 16∴ Fourth person’s share = Fourth person’s ratio x Total amount Sum of all ratios Fourth person’s share = 3 x 1200 = $ 225. 16
- If 6 persons working 8 hours a day earn $8400 per week, then 9 persons working 6 hours a day will earn per week:
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On the basis of above given question , we have
Here , Total Earning = $8400
Work done by 6 persons = in 8 hours
And Work done by 9 persons = in 6 hoursRequired sum = 8400 x 6 x 9 8 6 Correct Option: C
On the basis of above given question , we have
Here , Total Earning = $8400
Work done by 6 persons = in 8 hours
And Work done by 9 persons = in 6 hoursRequired sum = 8400 x 6 x 9 = $ 9450 8 6
- A can do a piece of work in 8 days. A undertook to it for $320. With the help of B, he finishes the work in 6 days. B’s share is:
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As we know that ,
Here, Total amount = $320(A + B)’s 1 day’s work = 1 6 A’s 1 days’ work = 1 8
∴ B’s 1 days’ work = (A + B)’s 1 day’s work - A’s 1 days’ workB’s 1 days’ work = 1 - 1 = 1 6 8 24 ∴ Money should be divided in the ratio = 1 : 1 = 3 : 1 8 24 ∴ B gets = $ 
B 's ratio x Total amount 
Sum of both ratios Correct Option: A
As we know that ,
Here, Total amount = $320(A + B)’s 1 day’s work = 1 6 A’s 1 days’ work = 1 8
∴ B’s 1 days’ work = (A + B)’s 1 day’s work - A’s 1 days’ workB’s 1 days’ work = 1 - 1 = 1 6 8 24 ∴ Money should be divided in the ratio = 1 : 1 = 3 : 1 8 24 ∴ B gets = $ B 's ratio x Total amount Sum of both ratios ∴ B gets = $ 1 x 320 = $ 80 4
- Two men, A and B, working together, completed a piece of work. If worked individually, it would have taken them 30 and 40 days to complete the work. If they have received a payment of $2100, then B’s share is:
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As per the given above question ,
Given that :- Total received payment = $2100B’s 1 days’ work = 1 30 A’s 1 days’ work = 1 40 ∴ Share of A and B should be in the ratio = 1 : 1 = 4 : 3 30 40 Correct Option: A
As per the given above question ,
Given that :- Total received payment = $2100B’s 1 days’ work = 1 30 A’s 1 days’ work = 1 40 ∴ Share of A and B should be in the ratio = 1 : 1 = 4 : 3 30 40 ∴ B’s share = $ 3 x 2100 = $900 7
