Bissoy.com
Doctors Medicines MCQs Q&A

There are 50 soldiers in the military camp. In camp, due to war, the number of soldiers increased by 40. After this, the expenses for the camp were increased by 3000/- per day while the average expenditure per head decreased by Rs. 50. What was the total initial expenditure of camp?

There are 50 soldiers in the military camp. In camp, due to war, the number of soldiers increased by 40. After this, the expenses for the camp were increased by 3000/- per day while the average expenditure per head decreased by Rs. 50. What was the total initial expenditure of camp? Correct Answer None of these

Given:

Total soldiers in military camp = 50

Due to war, the number of soldiers in camp is increased by = 40

Increments in expenditure of camp = Rs. 3000 per day

Decrement in the average expenditure of each person = Rs. 50 per person

Formula used:

Average = the sum of all numbers/total number

Calculation:

Total soldiers in military camp = 50

Let the initial average expenditure of camp be Rs. x

The sum of their expenditure = 50 × x = Rs. 50x

Due to the war,

Now the total soldiers in camp = 50 + 40 = 90

Increments in expenditure of camp = Rs. 3000 per day

So now the sum of their expenditure = Rs. (50x + 3000)

Then now average expenditure of each member = (50x + 3000)/90

But there is decrement of Rs. 50 in the average expenditure of each soldier

Then,

⇒ x – 50 = (50x + 3000)/90

⇒ 90x – 4500 = 50x + 3000

⇒ 40x = 7500

⇒ x = 187.5

Now the total initial expenditure of camp = 50x = 50 × 187.5 = Rs. 9375

∴ The total initial expenditure of the camp is Rs. 9375.

Related Questions

There are 450 corona patients in the hospital. In the hospital, due to the spreading of the corona, the number of the patient increased by 200. After this, the expenses for the hospital were increased by 4500/- per day while the average expenditure per head decreased by Rs. 120. What was the total initial expenditure of the hospital?
There are 40 boys in a PG. Due to some family reasons, 10 students leave PG. After this, the total expenses for the mess were decreased by Rs 30 while the average expenditure per head increased by Rs. 5. What was the original average expenditure of a boy in PG?
There were 35 students in a hostel. If the number of the students is increased by 7, then the expenses of the mess increased by Rs. 42 per day, while the average expenditure per head diminishes by Rs. 1. The original expenditure of the mess per day was-
Before a battle there were the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captainsto soldiers became 3 : 10. What is the number of soldiers after the war?
There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
In a mess, thirty soldiers are there. If six more soldiers are joining the mess, per day cost of mess increases by Rs. 42, and the average cost per soldier decrease by Rs. 1. What are the total expenses of mess before and after coming to the extra soldiers?
Before a battle, the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3 : 10. What is the number of soldiers after the war?
A garrison of 300 soldiers had food stock sufficient for 30 days when the rate of consumption is 2.5 kg/day/soldier. After some days of consumption at the rate, 150 soldiers were transferred to another garrison and the rest of food lasted for 30 days for the remaining soldiers. If the rate of consumption is 3 kg/day/soldier, after how many days from the start, were the soldiers transferred?
In a mess, there were 40 inmates. As 5 more have joined, the average expenses were decreased by Rs. 1, but the total expenses increased by Rs. 55. What was the total initial expense of the mess?
There were 35 students in a hostel. If the number of students be increased by 7, the expenditure on food increases by 42 per day while the average expenditure of students is reduced by 1. What was the initial expenditure (in Rs.) on food per day?