Question

in a college hostel 300 students had food for 20 days . If 50 Students leave, then the food will last​
1. 120 days
2. 17 days
3. 25 days
4. 24 days

Answer 1

therefore answer is 24 days

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

In a college hostel 300 students had food for 20 days . If 50 Students leave, then the food will last

1. 120 days

2. 17 days

3. 25 days

4. 24 days

EVALUATION

Here it is given that in a college hostel 300 students had food for 20 days

Now 50 Students leave,

So the number of students now

= 300 - 50

= 250

We tabulate the given problem in the table and solve using RULES OF THREE

$\sf{ : \: \: \: Students \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Days }$

$\sf{ : \: \: \: \: \: \: \: 300 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 20 }$

$\sf{ : \: \: \: \: \: \: \: 250 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ? }$

Here the number of students and number of days are in inverse proportion

So the required number of days

$\displaystyle \sf{ = \frac{20 \times 300}{250} }$

$= 24$

FINAL ANSWER

Hence the correct option is 4. 24 days

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