On a certain island, 5% of the 10000 inhabitants are one ­legged and half of…

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On a certain island, 5% of the 10000 inhabitants are one ­legged and half of the others go barefooted. What is the least number of Shoes needed in the island?

Answer: C. 10000Final answer: 10000 shoes. Total inhabitants = 10000. One-legged people = 5% of 10000 = 500. Each one-legged person needs one shoe. Remaining people = 10000 −…

  1. A.

    9500

  2. B.

    12000

  3. C.

    10000

  4. D.

    9000

Attempted by 220 students.

Show answer & explanation

Correct answer: C

Final answer: 10000 shoes.

  1. Total inhabitants = 10000.

  2. One-legged people = 5% of 10000 = 500. Each one-legged person needs one shoe.

  3. Remaining people = 10000 − 500 = 9500.

  4. Half of these 9500 go barefoot = 4750 barefoot; the other 4750 need two shoes each.

  5. Total shoes required = 500 × 1 + 4750 × 2 = 500 + 9500 = 10000.

  6. Therefore the least number of shoes needed on the island is 10000.

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