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In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

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Question

In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Sum
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Solution

In a hostel of 50 girls, food are available = 40 days

For 1 girl, food provisions = 50 × 40 = 2000 days

Now, for (50 + 30) girls i.e. 80 girls, the food provision = `2000/80`

= `200/8`

= 25 days

The food provisions will last for 25 days, if 30 more girls join.

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Chapter 10: Direct and Inverse Proportions - Exercise [Page 324]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 83. | Page 324

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