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100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for ______. - Mathematics

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Question

100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for ______.

Options

  • 30 days

  • `96/5` days

  • 120 days

  • 40 days

MCQ
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Solution

100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for 30 days.

Explanation:

100 persons have food provision for = 24 days

1 person will have food provision for = 24 × 100 = 2500 days

If 20 persons left the place, then total left = 100 – 20 = 80 persons

Hence, 80 persons have food provision for = `2400/80` = 30 days

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Chapter 10: Direct and Inverse Proportions - Exercise [Page 317]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 12. | Page 317

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