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Question

A hostel has a week's ration for 180 students. For how many days will the ration last, if 30 more students join the hostel?

A
6 days
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B
5 days
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C
3 days
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D
4 days
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Solution

The correct option is A 6 days
Given,
180 students will consume the ration in one week or 7 days.

We know that more is the number of students in the hostel, lesser will be the number of days for which the ration will last.

So, Number of students(x) 1Number of days(y)

x1x2 = y2y1

Given,
x1 = 180 students
y1 = 7 days
x2 = 180+30=210 students
y2=No. of days the ration will last for 210 students

180210=y27
y2 = 180 × 7210 = 6 days

So, the number of days for which the ration will last for 210 students = 6 days.

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