Work in a fort 300 men had provisions for 90 days after 20 days 50 men left the fort. How long would the food last at the same rate?
160 days
210 days
84 days
80 days
Explanation:
After 20 days,the remaining food can be consumed by 300 boys for 70 days.
But,the no of boys reduced from 300 to 250.
therefore, 250 boys had food for X days.
Now, less boys, more days (Indirect proportion)
.'. 250 : 300::70 : X
=> 250*x =300*70
=> x = 300*70/250
=>84
After 20 days,the remaining food can be consumed by 300 boys for 70 days.
But,the no of boys reduced from 300 to 250.
therefore, 250 boys had food for X days.
Now, less boys, more days (Indirect proportion)
.'. 250 : 300::70 : X
=> 250*x =300*70
=> x = 300*70/250
=>84