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Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for Rs4500. After
working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in Rs) was
paid to Ashok?
800
1500
750
1071
- Work Rate of Samir: Completes the work in 10 days, so he does 1/10 of the work per day.
- Work Rate of Puneet: Completes the work in 15 days, so he does 1/15 of the work per day.
- Combined Work Rate of Samir and Puneet: For 3 days, (1/10 + 1/15) of work per day which equals 1/6 of the work per day. In 3 days, they would complete 1/2 of the work.
- Remaining Work: 1/2 of the work is left.
- Ashok's Contribution: All three complete the remaining 1/2 of the work in 2 more days.
- Combined Work Rate of All Three: They complete 1/4 of the work per day (since half the work was done in 2 days).
- Ashok's Rate Contribution: He contributed 1/4 - 1/6 (combined rate of Samir and Puneet) = 1/12 of the work per day.
- Total Work Done by Ashok: Over 2 days, Ashok did 2*(1/12) = 1/6 of the work.
- Payment to Ashok: Ashok did 1/6 of the total work, so he gets 1/6 of Rs 4500.
Answer:
- Payment to Ashok: Rs 750
- Correct Answer: Option 3 - Rs 750
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