CAT 2022 Slot 3 QA Question 2: A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days.
Thereafter, 10 people left the group and the remaining people finished the rest of the p

Question

A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days.
Thereafter, 10 people left the group and the remaining people finished the rest of the p

Accepted Answer

Let the total work be $W$ man-hour units.
$\dfrac{35}{100} W = N 	imes 7 	imes 10 = 70N$
$W = 200N$
The remaining work is 65% of W.
$\dfrac{65}{100} 	imes 200N = 130N$
After 10 people leave, the remaining $N - 10$ people work for 14 days at 10 hours per day.
$(N - 10) 	imes 14 	imes 10 = 130N$

A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of N is