Multiple choice

Anchal, Ranjeet and Vijay completed a work together in 36 days and received a total payment of Rs. 10800. Anchal took half of the total money, Ranjeet took one third and Vijay took remaining. In how many days, Anchal and Vijay would have finished the work if Ranjeet was not working? आंचल, रंजीत और विजय ने 36 दिनों में एक साथ एक कार्य पूरा किया और रु. 10800 का कुल भुगतान प्राप्त किया। आँचल ने कुल धन का आधा हिस्सा लिया, रंजीत ने एक तिहाई लिया और विजय ने शेष लिया। अगर रंजीत कार्य नहीं कर रहा होता तो कितने दिनों में आँचल और विजय कार्य खत्म कर लेते?

  1. 108

  2. 72

  3. 54

  4. 60

  5. None of these इनमें से कोई नहीं
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C Correct answer
Explanation

Total payment distribution: Anchal gets half (10800/2=5400), Ranjeet gets one-third (10800/3=3600), Vijay gets remainder (10800-5400-3600=1800). Payment ratio A:R:V = 5400:3600:1800 = 3:2:1. In work problems, payment is proportional to work rate. If A, R, V together finish in 36 days, their combined rate = 1/36 work per day. With ratio 3:2:1, individual rates: A=3k, R=2k, V=k. Combined: 6k=1/36, so k=1/216. A and V together: 3k+k=4k=4/216=1/54. Time = 1/(1/54) = 54 days.

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