Work and Wages
- A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?
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According to question , we have
Here , Received money = $ 450(A + B)’s 5 day’s work = 5 1 + 1 10 15 (A + B)’s 5 day’s work = 5 3 + 2 = 5 30 6 Remaining work = 1 - 5 = 1 6 6 ∴ C’s 2 days’ work = 1 6 Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work = 5 : 5 : 1 = 3 : 2 : 1 10 15 6 ∴ A’s share = $ 450 x 3 = $ 225 6
Correct Option: B
According to question , we have
Here , Received money = $ 450(A + B)’s 5 day’s work = 5 1 + 1 10 15 (A + B)’s 5 day’s work = 5 3 + 2 = 5 30 6 Remaining work = 1 - 5 = 1 6 6 ∴ C’s 2 days’ work = 1 6 Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work = 5 : 5 : 1 = 3 : 2 : 1 10 15 6 ∴ A’s share = $ 450 x 3 = $ 225 6 B’s share = $ 450 x 2 = $ 150 6
C’s share = $[450 - ( 225 + 150 )] = $75
- 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
- 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
- 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
- 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