Question

.. A front is provisioned for 75 days. After 25 days a
reinforcement of 500 men arrives and the food the
lasts only 40 days. How many total men were there?
A) 2,000 men
B) 1,000 men
C) 1,500 men
D) none of these​

Answer 1

Given,

• A front is provisioned for 75 days
• After 25 days a reinforcement of 500 men arrives .
• The food the lasts only 40 days.

Solution,

The Total Number of Days = 25 days + 40 days

= 65 days

Let's The Orginal Number of Men = A

So, Th Total Provision = 75 × A

= 75A

So,

75A = 25A + 40 (500+A)

75A - 25A = 40×500 + 40A

50A = 20,000 + 40A

50A - 40A = 20,000

10A = 20,000

A = 2,000

Required Answer,

• A) 2,000 men