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Akshay starts working on a job and continues for 15 days and completes 36% of the work. To complete the work, he employs Monika and together they work for 20 days and completed the work.  What will be the efficiency ratio of Akshay and Monika ?
  • a)
    7 : 5
  • b)
    4 : 3
  • c)
    5 : 3
  • d)
    1 : 3
  • e)
    3 : 1
Correct answer is option 'E'. Can you explain this answer?
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Akshay's Work
- Akshay works on a job for 15 days and completes 36% of the work.
- Let's assume the total work to be completed is 100 units.
- Akshay completes 36% of the work, which is 36 units.

Akshay and Monika's Work
- To complete the remaining work, Akshay employs Monika.
- Akshay and Monika work together for 20 days and complete the rest of the work.
- Let's assume the work completed by Monika in these 20 days is M units.

Total Work
- The total work to be done is 100 units.
- Akshay completes 36 units of work.
- Monika completes M units of work.
- Therefore, the total work done by both Akshay and Monika is 36 + M units.

Efficiency Ratio
- The efficiency ratio of Akshay and Monika can be calculated by comparing their individual work rates.
- Akshay's work rate can be calculated as the work done by him divided by the number of days he worked.
- Akshay's work rate = 36 units / 15 days = 2.4 units/day.
- Monika's work rate can be calculated as the work done by her divided by the number of days she worked.
- Monika's work rate = M units / 20 days = M/20 units/day.

- The efficiency ratio of Akshay and Monika can be calculated by dividing their work rates.
- Efficiency ratio = Akshay's work rate / Monika's work rate = (2.4 units/day) / (M/20 units/day).
- Simplifying the expression, we get:
- Efficiency ratio = 2.4 * (20/M) = 48/M.

- We know that the efficiency ratio of Akshay and Monika is 3:1.
- Therefore, 48/M = 3/1.
- Cross-multiplying and solving for M, we get:
- M = 48/3 = 16 units.

- The efficiency ratio of Akshay and Monika is 48/M = 48/16 = 3:1.
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Akshay starts working on a job and continues for 15 days and completes 36% of the work. To complete the work, he employs Monika and together they work for 20 days and completed the work. What will be the efficiency ratio of Akshay and Monika ?a)7 : 5b)4 : 3c)5 : 3d)1 : 3e)3 : 1Correct answer is option 'E'. Can you explain this answer?
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