Multiple choice

A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole wok will be finished in time is : एक व्यक्ति एक कार्य 150 दिनों में पूरा करने के लिए लेता है। उसमें वह 200 व्यक्ति नियुक्त करता है। उसे पता चलता है कि 50 दिनों में केवल एक-चौथाई काम पूरा हुआ है। तदनुसार वह कार्य निश्चित समय पर पूरा करने के लिए, उसे कितने व्यक्ति अतिरिक्त नियुक्त करने होंगे?

  1. 100

  2. 125

  3. 50

  4. 75
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A Correct answer
Explanation

Work rate calculation: 200 men complete 1/4 work in 50 days. Remaining work = 3/4 in 100 days. Let M be total men needed. Work done = M × 100 days. For 3/4 work: M × 100 = 3/4 × 200 × 200 (from initial rate). This gives M = 300, so 100 additional men are needed. Alternatively: Work = 200 × 50 / 0.25 = 40000 man-days. Remaining = 30000 in 100 days, requiring 300 men.

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