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Q.

A camp has food stock for 500 people for 70 days. If 200 more people join the food, how long will the stock last?


Chapter/Topic:  Direct and Inverse Proportions


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a

10 days

b

30 days

c

50 days

d

60 days 

answer is C.

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Detailed Solution

Step 1: First, we need to determine the food capacity for 70 days for 500 people, which can be determined by multiplying the given number of days by the given number of people.
Therefore,
The camp has supplies for 500 people for 70 days, so
The camp has food supplies for 500 people for 70 days
So 500×70=35000
Step 2: Now we need to determine the new number of people as mentioned in the question that 200 more people will join this meal. Therefore,
New total number of people:
If another 200 people join
then 500+200=700 people
Step 3: Now determine the number of days the food supply will last when the number of people increases by dividing the total food by the new number of people as shown in the solution hint.
Number of days:
how long food stock last is 35000700 ​= 50
i.e; The food lasts for 50 days for 700 people.
Hence, Option (3) is the correct answer.
  
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