Question

In a fort there is provision of feed for 150 men for 45 days after 10 days 25 men left the fort the remaining food will last for a

Answer 1

Answer: 42 days

Step-by-step explanation:

Let quantity used by each person per day is 100 grams so total quantity available is 150×100×45= 675000 grams.

Quantity used in 10 days =150×100×10 = 150000 grams.

So remaining quantity is 675000 - 150000 = 525000 grams.

Now number of persons 150-25 = 125

So now per day consumption = 125×100 = 12500 grams

So to use remaining 525000 grams, number of days required is 525000/12500 = 42 days

Answer 2

The remaining food is sufficient for 125 men for 42 days.

Step-by-step explanation:

Question:- A fort had provisions for 150 men for 50 days. After 15 days 25 men left the fort. How long will food last at the same rate for remaining men?

To find:- How long will food last at the same rate for remaining men?

Solution:-

Given that: fort had provision of food for 150 men for 45 days

Hence, after 10 days, the remaining food is sufficient for 150 men for 35 days

Remaining men after 10 days = 150 - 25 = 125

Assume that after 10 days,the remaining food is sufficient for 125 men for $x$ days

More men, Less days (Indirect Proportion)

(men) 150 : 125 :: $x$ : 35

$\Rightarrow 150 × 35 = 125x\\\Rightarrow 6 × 35 = 5x\\\Rightarrow x = 6 × 7 = 42$

i.e., the remaining food is sufficient for 125 men for 42 days

:)