Home
Class 8
MATHS
In a fort, provisions are sufficient for...

In a fort, provisions are sufficient for 1600 soldiers for 30 days, if each soldier cnsumes at the rate of 2.5 kg per day. If 400 more soldiers join the fort and now each soldier consumes 3 kg per day, for how many days will the provisions last?

A

15

B

10

C

20

D

12

Text Solution

Verified by Experts

The correct Answer is:
C

Quantity of food available in the fort `=(2.5)(1600)(30)=1.2`lakha kg.
Suppose the provisions lasted for x days.
`1.2"lakh"=(3)(1600+400)(x)`
`:. X=20`.
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-2)|20 Videos
  • TIME AND DISTANCE

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 2 )|3 Videos
  • TIME AND WORK, PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-3)|7 Videos

Similar Questions

Explore conceptually related problems

In a fort, there are 1500 soldiers and they have provisions for 90 days.If 600 soldiers leave the fort and the remaining soldiers increase their consumption rate by 50%, for how many days will the provisions last ?

In a fort, there are 1500 soldiers and they have provisions for 90 days.If 600 soldiers leave the fort and the remaining soldiers increase their consumption rate by 50%, for how many days will the provisions last ?

In a scout camp, there is food provision for 300 cadets for 42 days. If 50 more persons join the camp, for how many days will the provision last?

In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers? A)12 days B)10 days C)8 days D)6 days

In an army camp ration is available for 100 soldiers for 10 days. After 2 days, 60 soldiers joined. Then for how many more days will the remaining ration last?

In a school , mid day meal food is sufficient for 250 students for 33 days , if each student is given 125 g meals . 80 more students joined the school . If same of meal is given to each student , then the food will last