Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days. They are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Bimal's share is:

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OSSC CGLRE (Mains) Exam (Mathematics) Official Paper (Held On: 23 July, 2023)
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  1. Rs. 600
  2. Rs. 400
  3. Rs. 300
  4. Rs. 500

Answer (Detailed Solution Below)

Option 4 : Rs. 500
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Detailed Solution

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Given:

Amal can complete a job in 10 days.

Bimal can complete it in 8 days.

Amal, Bimal, and Kamal together complete the job in 4 days.

Total remuneration = Rs 1000

Calculation:

Let the total work be equal to 40 units (LCM of 10, 8, and 4)

Amal's one day work = 40/10 = 4 units

Bimal's one day work = 40/8 = 5 units

Total one day work = 40/4 = 10 units

⇒ Kamal's one day work = 10 - 9 = 1 unit

Bimal does (5/10)th of total work his share would be (5/10)th of the total share

i.e. (5/10) × 1000 = Rs. 500

Bimal's share is Rs. 500.

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