Multiple choice

A contractor undertake to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged so that the work may finish in time ? एक ठेकेदार ने 124 दिनों में किसी काम को पूरा करने का ठेका लिया। उसने 120 व्यक्ति कार्य पर लगाये परन्तु 64 दिन में 2 /3 कार्य ही हो पाया तो कितने व्यक्ति को हटाया जाये की कार्य समय पर समाप्त हो जाये?

  1. 50

  2. 48

  3. 56

  4. 64

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work done in 64 days by 120 men = 120 × 64 = 7680 man-days, which equals 2/3 of total work. Total work = 7680 × 3/2 = 11520 man-days. Remaining work = 11520 - 7680 = 3840 man-days. Remaining time = 124 - 64 = 60 days. Men needed = 3840/60 = 64. Men discharged = 120 - 64 = 56.