Question

15000 soldiers in a fort have provision for 48 days after 13 days few soldier join them and then the food lasts for 25 days how many soldiers join?



ans 600​

Answer 1

Answer:

Step-by-step explanation:

After 13 days, there was enough food for 1500 people for 48-13 = 35 days.

Multiplying the number of people by some factor, we need to divide the number of days by the same factor.  E.g. double the number people means half the number of days.  So...

# people × # days = constant    .... (1)

Let n be the number of additional soldiers, so (#people) becomes 1500+n.  Then equation (1) with the numbers with and without the extra men gives:

( 1500 + n ) × 25 = 1500 × 35

=> 1500 + n = 1500 × 35 / 25 = 2100

=> n = 2100 - 1500 = 600