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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
- a)Rs. 375
- b)Rs. 400
- c)Rs. 600
- d)Rs. 800
Correct answer is 'B'. Can you explain this answer?
Verified Answer
A alone can do a piece of work in 6 days and B alone in 8 days. A and ...
Payment is always directly proportional to efficiency, that is more the efficiency higher the payLet the total work be eating 24 chocolates (LCM of 6 and 8)Therefore in one day A can eat = 24/6 = 4B can eat = 24/8 = 3All three together in one day can = 24/3 = 8This means C can eat 1 chocolate in 1 daySo efficiency ratio of A:B:C = 4:3:1Therefore payment will also be in same ratioC gets 1/8 th of the amount = 1/8 * 3200 = 400 Rs
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Most Upvoted Answer
A alone can do a piece of work in 6 days and B alone in 8 days. A and ...
**Given Information:**
- A alone can do the work in 6 days.
- B alone can do the work in 8 days.
- A, B, and C together completed the work in 3 days.
- A, B, and C were paid a total of Rs. 3200 for the work.
**Approach:**
To find out how much C should be paid, we need to calculate the amount of work done by C in 3 days.
Let's assume the total work is 1 unit.
From the given information, we can calculate the following:
- A's work rate: 1/6 units per day
- B's work rate: 1/8 units per day
- A, B, and C's work rate together: 1/3 units per day
Now, let's find out C's work rate by subtracting the combined work rate of A and B from the combined work rate of A, B, and C:
C's work rate = (A, B, and C's work rate) - (A and B's work rate)
= 1/3 - (1/6 + 1/8)
= 1/3 - 7/24
= 8/24 - 7/24
= 1/24
Therefore, C's work rate is 1/24 units per day.
**Calculation:**
Since C's work rate is 1/24 units per day, we can calculate the work done by C in 3 days:
Work done by C = C's work rate * Number of days
= (1/24) * 3
= 1/8 units
Now, to find out how much C should be paid, we can calculate the payment proportionately based on the total payment of Rs. 3200:
Payment for C = (Work done by C / Total work) * Total payment
= (1/8 / 1) * 3200
= (1/8) * 3200
= 400
Therefore, C should be paid Rs. 400.
Hence, option B (Rs. 400) is the correct answer.
- A alone can do the work in 6 days.
- B alone can do the work in 8 days.
- A, B, and C together completed the work in 3 days.
- A, B, and C were paid a total of Rs. 3200 for the work.
**Approach:**
To find out how much C should be paid, we need to calculate the amount of work done by C in 3 days.
Let's assume the total work is 1 unit.
From the given information, we can calculate the following:
- A's work rate: 1/6 units per day
- B's work rate: 1/8 units per day
- A, B, and C's work rate together: 1/3 units per day
Now, let's find out C's work rate by subtracting the combined work rate of A and B from the combined work rate of A, B, and C:
C's work rate = (A, B, and C's work rate) - (A and B's work rate)
= 1/3 - (1/6 + 1/8)
= 1/3 - 7/24
= 8/24 - 7/24
= 1/24
Therefore, C's work rate is 1/24 units per day.
**Calculation:**
Since C's work rate is 1/24 units per day, we can calculate the work done by C in 3 days:
Work done by C = C's work rate * Number of days
= (1/24) * 3
= 1/8 units
Now, to find out how much C should be paid, we can calculate the payment proportionately based on the total payment of Rs. 3200:
Payment for C = (Work done by C / Total work) * Total payment
= (1/8 / 1) * 3200
= (1/8) * 3200
= 400
Therefore, C should be paid Rs. 400.
Hence, option B (Rs. 400) is the correct answer.
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A alone can do a piece of work in 6 days and B alone in 8 days. A and ...
Correct option is answer 'B'
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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer?
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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer?.
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs. 375b)Rs. 400c)Rs. 600d)Rs. 800Correct answer is 'B'. Can you explain this answer?.
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