Multiple choice

Sonia can do a certain work in 18 days. Raman and Parmit can do the same work in 54 days and 108 days, respectively. All 3 of them start working together and Sonia leaves after working for 10 days. If all of them are paid a total sum of Rs. 7,830 for the complete work, what is the share of Raman?

  1. Rs. 2,320

  2. Rs. 2,412

  3. Rs. 2,331

  4. Rs. 2,341

  5. None of these
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A Correct answer
AI explanation

The daily work ratio of Sonia, Raman and Parmit is 1/18 : 1/54 : 1/108, which simplifies to 6:2:1. The total parts are 9, making Raman's daily work ratio 2/9 of the total. Since everyone works for the same 10-day duration until Sonia leaves, the work is completed, and Raman's share of the Rs. 7830 payment is 7830 * 2 / 9 = Rs. 2320.

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