wiz-icon
MyQuestionIcon
MyQuestionIcon
424
You visited us 424 times! Enjoying our articles? Unlock Full Access!
Question

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 remaining soldiers ?

A
6 days
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8 days
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10 days
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12 days
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 10 days
Give,
Total Soldiers = 200
Food for them = 31 days
So, Quantity of food = 200 *31 = 6200 man-days
Till 27 days, quantity consumed = 27 *200 = 5400 man-days
Rest quantity = 6200 - 5400 = 800 man-days
Remaining soldiers = 200 - 120 = 80
Let remaining food will sufficient for x days
Now,
5400 + 80 x = 6200
80 x = 800
x = 10 days

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Ratio and Proportion
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon