# Arithmetical examples

### Contents

 Reduction to improper fractions II 11 Compound Complex and Continued Fractions 19 XXV 26 Multiplication 35 Decimals of Money 42 XLII 53 Double Rule of Three 55 Simple Interest 58 Compound Interest 60 Simple Interest 62 Present Value and Discount 64 Proportional Parts Partnership and Equation of Payments 67
 Miscellaneous Examples 87 52 92 EXAMINATION PAPERS 108 ANSWERS 119 60 128 62 134 71 143 80 144 81 151 82 153 87 154 123 155

### Popular passages

Page 84 - At a siege it was found that a certain length of trench could be dug by the soldiers and navvies in 4 days, but that when only half the navvies were present it required 7 days to dig the same length of trench. What proportion of the work was done by the soldiers?
Page 71 - THE sum of £177 is to be divided among 15 men, 20 women, and 30 children, in such a manner that a man and a child may together receive as much as two women, and all the women may together receive £60; what will they respectively receive?
Page 76 - A person buys £500 worth of stock at 98; ; what must he sell at to gain £21 5s. by the transaction ? 16. Which is the better investment, bank stock paying 10 per cent, at 319, or Threo per Cent.
Page 99 - ... an hour ; what is the rate of the stream per hour? and how long would it take him to return against it) 114.
Page 105 - A person leaves ¿12670 to be divided among his five children and three brothers, so that, after the legacy duty has been paid, each child's share shall be twice as great as each brother's. The legacy duty on a child's share being one per cent., and on a brother's three per cent., find what each will receive...
Page 46 - If a person's estate be worth £1384. 16s. a year and the land be assessed at 2s. 9\d.
Page 56 - If a garrison of 600 men have provisions for 5 weeks, allowing each man 12 oz.