Question

31. In a hostel, food material is available for 320 students for 60 days. Each student consume 520 gm per day. After 15 days 40 more students join the hostel. Now each student consume 650gm per day. The rest food will be available for how many days? (1) 20 days (2) 24 days (3) 28 days (4) 32 days​

Answer 1

Question:-

In a hostel, food material is available for 320 students for 60 days. Each student consume 520 gm per day. After 15 days 40 more students join the hostel. Now each each student consume 650gm per day. The rest food will be available for how many days?

• (1) 20 days
• (2) 24 days
• (3) 28 days
• (4) 32 days

Required Answer:-

Given:-

• Food material is available for 320 students for 60 days
• Each student consume 520 gm per day.
• After 15 days 40 more students join the hostel and then each student consume 650gm per day.

To Find:-

• Days the rest food will be available for.

Solution:-

As we were given,

• Food material is available for 320 students for 60 days and Each student consume 520 gm per day.

That means, the amount of food 320 students consume I 60 days, is the amount of the food available in the hostel.

∴ Total food available = (320 × 60 × 520) gm = 9984000 gm = 9984kg

• Hence, the amount of food available in the hostel is 9984kg

Again,

=> Food consumed by 320 students in 15 days = (320 × 15 × 520) gm = 249600 gm = 2496kg

∴ Food remains = (9984 - 2496) kg = 7488kg

Now,

• After 15 days, 40 more students join the hostel.

∴ New student = (320 + 40) = 360

• Then each student consume 650gm per day.

=> Each day food consumed by 360 students = (360 × 650) gm = 234000gm = 234kg

Therefore,

Food would last for days = Food left for each student/ Number of new students

=> Food would last for days = (7488 ÷ 234) days

∴ Food would last for days = 32 days.

Hence, The rest food will be available for (4)32 days