If £100 gain £5 in a year, how much will £850 gain in 3 years and 8 months? _Answer_, £155. 16. 8. SECTION III. INTEREST, ETC. 245. In the questions contained in this Section, almost the only process which will be employed is the taking a fractional part of a sum of money, which has been done before in several cases. Suppose it required to take 7 parts out of 40 from £16, that is, to divide £16 into 40 equal parts, and take 7 of them. Each of these parts is 16 16 16 × 7 £----, and 7 of them make ---- × 7, or ------ pounds (116). 40 40 40 The process may be written as below: £16 7 ----- 40)112(£2 . 16_s._ 80 -- 32 20 --- 640 40 --- 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 12_s._ The result, by the same rule is £3 12_s._ × 2½ 5 -------------------, or 123 £3 12_s._ × ---; 100 200 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 10_s._ 129 _Answer_, 4_s._ 1---_d._ 159 Take 5 parts out of 100 from £107 13_s._ 4¾_d._ _Answer_, £5. 7. 8 and ³/₂₀ of a farthing. £56 3_s._ 2_d._ 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.