A building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?

Question: A building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?Solution:2/3 of the work done in 72 days by 150 men∴ Day remaining = 162 - 72 = 90 daysWork remaining = 1- (2/3) = 1/3In 72 days 2/3 of the work can be done by 150 menIn 1 day 1 of the work can be done by (150 × 3 × 72)/2 menIn 90 days 1/3 of the work can be done by = (150 × 3 × 72)/(2 × 3 × 90) men= 60 men∴ The number of men can be discharged = 150 - 60 = 90 men