Multiple choice

A contractor employed 30 men to complete the project in 100 days. But later on he realised that just after 25 days only 20% of the work had been completed. To complete the work on the scheduled time how many men he has to increase? एक ठेकेदार ने परियोजना को 100 दिनों में पूरा करने के लिए 30 पुरुषों को नियुक्त किया। लेकिन बाद में उन्होंने महसूस किया कि 25 दिनों के बाद केवल 20% काम ही पूरा हुआ था। निर्धारित समय पर कार्य को पूरा करने के लिए उसे कितने पुरुषों की वृद्धि करनी होगी?

  1. 10

  2. 40

  3. 30

  4. 20

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

30 men × 100 days = 3000 man-days required. In 25 days with 30 men: 30 × 25 = 750 man-days of work capacity, but only 20% (600 man-days) of work was completed. This means efficiency = 600/750 = 0.8 or 80%. Remaining work = 80% × 3000 = 2400 man-days. Remaining days = 100 - 25 = 75 days. At 80% efficiency, effective capacity = 75 × 0.8 = 60 man-days/day equivalent. Men needed = 2400/60 = 40 men. Increase = 40 - 30 = 10 men.

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