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Arvind can complete a piece of work in 45 days, while Narendra would take 75 days for the same. Narendra completes a third of the work, and then Arvind joins him and they complete the work together. If the total salary they get is Rs 2400, how much should Arvind be paid?
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Arvind can complete a piece of work in 45 days, while Narendra would t...
Given data:
Arvind completes work in 45 days
Narendra completes work in 75 days
Narendra completes 1/3 of work before Arvind joins

Calculation:
Let the total work be W
Arvind's work efficiency = 1/45
Narendra's work efficiency = 1/75
Narendra completes 1/3 of the work, so work done by Narendra = W/3

Work done by Narendra in 1 day:
1/75 * 1/3 = 1/225

Remaining work when Arvind joins:
W - W/3 = 2W/3

Work done by Arvind and Narendra in 1 day when they work together:
1/45 + 1/225 = 6/225 + 1/225 = 7/225

Time taken to complete the remaining work:
(2W/3) / (7/225) = 150/7 days

Amount earned by Arvind:
Arvind's share of work = (150/7) / 45 = 10/21
Arvind's share of salary = (10/21) * 2400 = Rs 1142.86
Therefore, Arvind should be paid Rs 1143.
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Arvind can complete a piece of work in 45 days, while Narendra would take 75 days for the same. Narendra completes a third of the work, and then Arvind joins him and they complete the work together. If the total salary they get is Rs 2400, how much should Arvind be paid?
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Arvind can complete a piece of work in 45 days, while Narendra would take 75 days for the same. Narendra completes a third of the work, and then Arvind joins him and they complete the work together. If the total salary they get is Rs 2400, how much should Arvind be paid? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Arvind can complete a piece of work in 45 days, while Narendra would take 75 days for the same. Narendra completes a third of the work, and then Arvind joins him and they complete the work together. If the total salary they get is Rs 2400, how much should Arvind be paid? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arvind can complete a piece of work in 45 days, while Narendra would take 75 days for the same. Narendra completes a third of the work, and then Arvind joins him and they complete the work together. If the total salary they get is Rs 2400, how much should Arvind be paid?.
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