A town with a population of 4000 had food packets for 30 days. After 10 days 1000 more people are added. How long will the food packets last now?

Question: A town with a population of 4000 had food packets for 30 days. After 10 days 1000 more people are added. How long will the food packets last now?

Solution:
Town with a population of 4000 had food packets for 30 days.
∴ Total food packets = 4000 × 30 = 120000

Other 1000 people joined after 10 days.

Food packet consumed in first 10 days = 4000 × 10 = 40000.
∴ Remaining food packets = 120000 – 40000 = 80000

Now 1000 people more are added
∴ Total people = 4000 + 1000 = 5000.

Now, remaining food packets will be divided among 5000 people.

∴ No. of days food will last = Remaining food packets/No. of people

⇒ No. of days food will last = 80000/5000
⇒ No. of days food will last = 16