Question

An army of 2100 men has provision of 50 days. After 10 days due to injuries some of them left and food were now enough for next 50 days for remaining men. The number of men left is

Answer 1

The number of men left is 420.

•Given data :

Initially the total men was 2100

They have provision for 50 days

Men left after 10 days

Now, remaining men also have provision for 50 days

• Now,

So,the remaining number of days for the initial number of men is

= (50-10) = 40 days

• Let, the number of men left = x (assume x as a variable to calculate the number of men left due to injuries)

• So,the number of remaining men = 2100-x

• Now,If the men didn't left

Then, 50 days food was for = 2100 men

1 day food was for = 2100/50 men

40 days food was for = 2100×40/50 = 1680 men

Now,the 40 days for initial men is 50 days reduced amount of men.

So,

2100-x=1680

-x = 1680-2100

-x = -420

x = 420

So,total 420 men left the army (answer)