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
Answers
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.