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For the following questions answer them individually
In a hostel of 50 girls there are food provisions for 40 days. If 30 more girls join the hostel, the food provisions will last for:
  • a)
    35 days
  • b)
    30 days
  • c)
    25 days
  • d)
    20 days
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For the following questions answer them individuallyIn a hostel of 50 ...
Total girls =50+30=80
Let x be the number of days with food provisions for 80.
Number of girls  50 80 Number of days 40 x Since, the number of girls and the number of days with food provisions are in inverse variation, we have:
⇒  50×40 = 80x
x = 25
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Most Upvoted Answer
For the following questions answer them individuallyIn a hostel of 50 ...
Solution:

Given,
Number of girls in the hostel = 50
Food provisions for 50 girls last for 40 days.

If 30 more girls join the hostel, then the total number of girls in the hostel = 50 + 30 = 80

Let us assume that the same amount of food provisions is sufficient for 80 girls for x days.

We can use the formula:

(Number of persons) x (Number of days) x (Food provisions for 1 person for 1 day) = Constant

Using the above formula, we get:

50 x 40 x 1 = 80 x x x 1

2000 = 80x

x = 2000/80

x = 25

Therefore, the food provisions will last for 25 days.

Hence, the correct option is (c) 25 days.
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Community Answer
For the following questions answer them individuallyIn a hostel of 50 ...
This problem related to Inverse 

proportion .

Two quantities x and y are said to 

vary in Inverse proportion, if there 

exists a relation of the type 

xy = k between them ,k being a 

constant.

If y1 ,y2 are the values of y 

corresponding to the values x1 and 

x2of x respectively, then 

x1 y1 = x2y2 

According to the problem given,

Number of girls. Days

x1=50 y1 = 40

x2 = 50+30= 80. y2 = ?


x2y2 = x1y1

80 x y2 = 50 x 40

y2 = ( 50 x 40 ) / 80

y2 = 25

If 30 more girls join the hostel , then 

provisions last in 25 days.
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For the following questions answer them individuallyIn a hostel of 50 girls there are food provisions for 40 days. If 30 more girls join the hostel, the food provisions will last for:a)35 daysb)30 daysc)25 daysd)20 daysCorrect answer is option 'C'. Can you explain this answer?
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