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nydus/Elements of arithmeticPublic
Page 184 of 278
Table of Contents

BOOK II.

  • 240
  • 240
  • 0

Suppose it required to take 13 parts out of a hundred from £56. 13. 7½.

  • 56 . 13 . 7½
  • 13
  • 100) 736 . 17 . 1½ ( £7 . 7 . 4 ¼ ¹/₄₁
  • 700
  • 36 × 20 + 17 = 737
  • 700
  • 37 × 12 + 1 = 445
  • 400
  • 45 × 4 × 2 = 182
  • 100
  • 82

Let it be required to take 2½ parts out of a hundred from £3 12s. The result, by the same rule is

£3 12 s. × 2½, or 123 £3 12 s. ×5;
100200

so that taking 2½ out of a hundred is the same as taking 5 parts out of 200.

EXERCISES.

Take 7⅓ parts out of 53 from £1 10s.

Answer , 4 s. 1129d .
159

Take 5 parts out of 100 from £107 13s.d.

Answer, £5. 7. 8 and ³/₂₀ of a farthing.

£56 3s. 2d. is equally divided among 32 persons. How much does the share of 23 of them exceed that of the rest?

Answer, £24. 11. 4½ ½.

  1. It is usual, in mercantile business, to mention the fraction which one sum is of another, by saying how many parts out of a hundred must be taken from the second in order to make the first. Thus, instead of saying that £16 12s. is the half of £33 4s., it is said that the first is
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