CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A hostel has ration for 50 days for 80 students. A certain number of students joined the hostel and the ration lasted for only 40 days. How many students joined the hostel?

A
25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
20
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
50
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 20
Given, the ration will last for 50 days if 80 students were there.

We know that if the ration lasts for fewer days, there is an increase in the number of students in the hostel.

So, Number of days(x)1Number of students(y)
x1x2 = y2y1

Given,
x1 = 50 days
y1 = 80 students
x2 = 40 days
and y2 = Total number of students
y2 = x1 × y1x2
y2 = 50 × 8040 = 100

So, the number of students that joined = 100 - 80 = 20

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inverse proportions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon