Question

Ration is available for 75 students on a hostel for 20days how long it last for the remaining students if 25 students left the hostel after 10days​

Answer 1

Answer:

15 more days after the 25 students left.

Step-by-step explanation:

Let the total amount of ration available = X

Each students consumption for one day can be calculated as,

Ration cunsumption per student per day = X / 75 / 20 = X / 1500 ...(1)

For 10 days all 75 students were consuming the ration.

∴ Ration cunsuption for 1st 10 days = Each day consumption × number of student × number pf days.

∴ Ration cunsumption for 10 days = X/1500 × 75 × 10 = X/2

Remaining ration = X - X/2 = X/2 ... (2)

As 25 students left, remaining students = 75 - 25 = 50

Each student consume X/1500 per day,

∴Cunsumption for 50 students per day = 50 × X/1500 = X/30 ...(3)

∴ Number of days, the ration will last = Ration available ÷ Per day consumption

∴ from 2 & 3

Number of days = (X/2) / (X/30)

∴ Number of days = 15

∴ After 10 days, the ration will last for 15 more days for remaining students.