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A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:
- a)Rs. 12960
- b)Rs. 34080
- c)Rs. 20640
- d)Rs. 28000
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A and B undertook to do a piece of work for Rs. 48,000. A could do it ...
Work done by A in 1 day = 1/5
Work done by B in 1 day = 1/8
Let the work done by D in 1 day be 1/x
⇒ Work done by C in 1 day = 2/x (Given)
⇒ Work done by all in 1 day= 
Now, when all of them work, they finish the work in 3 days.
Now, when all of them work, they finish the work in 3 days.
⇒ Work done by all in 1 day = 1/3 
⇒ x = 120 × 3 = 360
Time taken by C = 180 days
⇒ A’s total payment = 48000 × (3/5) = 28800
⇒ C’s total payment = 48000 × (3/180) = 800
∴ Difference = 28800 - 800 = 28000
Most Upvoted Answer
A and B undertook to do a piece of work for Rs. 48,000. A could do it ...
Given:
- A can complete the work alone in 5 days.
- B can complete the work alone in 8 days.
- A and B together completed the work in 3 days with the help of C and D.
- C's work is twice that of D's work.
- The total amount for the work is Rs. 48,000.
To find:
The difference between the shares of A and C.
Solution:
Let's calculate the work done by A, B, C, and D in 1 day.
- A's work per day = 1/5
- B's work per day = 1/8
Let's assume the work done by C in 1 day is x and the work done by D in 1 day is y.
- C's work per day = x
- D's work per day = y
According to the given condition, the work done by C is twice that of D.
So, x = 2y.
Work done by A, B, C, and D in 1 day:
- A's work per day = 1/5
- B's work per day = 1/8
- C's work per day = x = 2y
- D's work per day = y
Work done in 1 day by A, B, C, and D together:
- A + B + C + D = 1/5 + 1/8 + 2y + y
- A + B + C + D = 13/40 + 3y
Given that A, B, C, and D together completed the work in 3 days.
So, the total work done in 3 days = 3(A + B + C + D) = 3(13/40 + 3y)
The total work done is equal to the work that needs to be done, which is Rs. 48,000.
So, 3(13/40 + 3y) = 48,000
Solving the above equation, we get:
39/40 + 9y = 16,000
9y = 16,000 - 39/40
9y = 15,961/40
y = (15,961/40) * (1/9)
y = 559/40
Now, we can calculate x (the work done by C):
x = 2y
x = 2 * (559/40)
x = 1118/40
x = 559/20
Calculating the shares of A and C:
The share of A = (A's work per day) * (total amount for the work)
The share of C = (C's work per day) * (total amount for the work)
Share of A = (1/5) * 48,000 = 9,600
Share of C = (559/20) * 48,000 = 1,32,960
Difference between the shares of A and C = Share of C - Share of A
= 1,32,960 - 9,600
= 1,23,360
Thus, the difference between the shares of A and C is Rs. 1,23
- A can complete the work alone in 5 days.
- B can complete the work alone in 8 days.
- A and B together completed the work in 3 days with the help of C and D.
- C's work is twice that of D's work.
- The total amount for the work is Rs. 48,000.
To find:
The difference between the shares of A and C.
Solution:
Let's calculate the work done by A, B, C, and D in 1 day.
- A's work per day = 1/5
- B's work per day = 1/8
Let's assume the work done by C in 1 day is x and the work done by D in 1 day is y.
- C's work per day = x
- D's work per day = y
According to the given condition, the work done by C is twice that of D.
So, x = 2y.
Work done by A, B, C, and D in 1 day:
- A's work per day = 1/5
- B's work per day = 1/8
- C's work per day = x = 2y
- D's work per day = y
Work done in 1 day by A, B, C, and D together:
- A + B + C + D = 1/5 + 1/8 + 2y + y
- A + B + C + D = 13/40 + 3y
Given that A, B, C, and D together completed the work in 3 days.
So, the total work done in 3 days = 3(A + B + C + D) = 3(13/40 + 3y)
The total work done is equal to the work that needs to be done, which is Rs. 48,000.
So, 3(13/40 + 3y) = 48,000
Solving the above equation, we get:
39/40 + 9y = 16,000
9y = 16,000 - 39/40
9y = 15,961/40
y = (15,961/40) * (1/9)
y = 559/40
Now, we can calculate x (the work done by C):
x = 2y
x = 2 * (559/40)
x = 1118/40
x = 559/20
Calculating the shares of A and C:
The share of A = (A's work per day) * (total amount for the work)
The share of C = (C's work per day) * (total amount for the work)
Share of A = (1/5) * 48,000 = 9,600
Share of C = (559/20) * 48,000 = 1,32,960
Difference between the shares of A and C = Share of C - Share of A
= 1,32,960 - 9,600
= 1,23,360
Thus, the difference between the shares of A and C is Rs. 1,23
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A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer?
Question Description
A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer?.
A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer?.
Solutions for A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A and B undertook to do a piece of work for Rs. 48,000. A could do it alone in 5 days and B could do it alone in 8 days. With the help of C and D, they finished the work in 3 days. If the work done by C was twice that of the work done by D, then the difference between the shares of A and C was:a)Rs. 12960b)Rs. 34080c)Rs. 20640d)Rs. 28000Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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