1.

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»

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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