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Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?
- a)160 Rs
- b)120 Rs
- c)300 Rs
- d)180 Rs
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Sameer can do a piece of work in 20 days. Manish alone can do the same...
GIVEN:
Sameer can do a piece of work in 20 days
Manish can do a piece of work in 30 days
Total wages = Rs. 200
Sameer can do a piece of work in 20 days
Manish can do a piece of work in 30 days
Total wages = Rs. 200
CONCEPT:
The wages will be distributed between them in the ratio of their work efficiencies. Ratio of their work efficiencies –
FORMULA USED:
Ratio of distribution of wages,
⇒ S : M = 3:2
The wages will be distributed between them in the ratio of their work efficiencies. Ratio of their work efficiencies –
FORMULA USED:
Ratio of distribution of wages,
⇒ S : M = 3:2
Most Upvoted Answer
Sameer can do a piece of work in 20 days. Manish alone can do the same...
Calculation:
Step 1: Calculate their individual work rates
- Sameer can complete the work in 20 days, so his work rate is 1/20 of the work per day.
- Manish can complete the work in 30 days, so his work rate is 1/30 of the work per day.
Step 2: Calculate their combined work rate
- When Sameer and Manish work together, their combined work rate is (1/20 + 1/30) = 1/12 of the work per day.
Step 3: Calculate the total wages earned
- Since they complete the work in 12 days when working together, the total wages for the work are Rs. 200.
- Therefore, their combined wages per day are Rs. 200/12 = Rs. 16.67.
Step 4: Calculate Sameer's wages
- Sameer's individual work rate is 1/20 of the work per day.
- Since the combined work rate is 1/12 of the work per day, Sameer's share of the wages should be (1/20)/(1/12) = 12/20 = 60% of the total wages.
- Therefore, Sameer should be paid 60% of Rs. 200, which is Rs. 120.
Therefore, Sameer should be paid Rs. 120 if they work together for the entire duration. Hence, the correct answer is option B.
Step 1: Calculate their individual work rates
- Sameer can complete the work in 20 days, so his work rate is 1/20 of the work per day.
- Manish can complete the work in 30 days, so his work rate is 1/30 of the work per day.
Step 2: Calculate their combined work rate
- When Sameer and Manish work together, their combined work rate is (1/20 + 1/30) = 1/12 of the work per day.
Step 3: Calculate the total wages earned
- Since they complete the work in 12 days when working together, the total wages for the work are Rs. 200.
- Therefore, their combined wages per day are Rs. 200/12 = Rs. 16.67.
Step 4: Calculate Sameer's wages
- Sameer's individual work rate is 1/20 of the work per day.
- Since the combined work rate is 1/12 of the work per day, Sameer's share of the wages should be (1/20)/(1/12) = 12/20 = 60% of the total wages.
- Therefore, Sameer should be paid 60% of Rs. 200, which is Rs. 120.
Therefore, Sameer should be paid Rs. 120 if they work together for the entire duration. Hence, the correct answer is option B.
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Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer?
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Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer?.
Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sameer can do a piece of work in 20 days. Manish alone can do the same work in 30 days. If total wages for the work are Rs. 200. How much should Sameer be paid if they work together for the entire duration?a)160 Rsb)120 Rsc)300 Rsd)180 RsCorrect answer is option 'B'. Can you explain this answer?.
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