UB8SON8 IN ARITHMETIC 



Or, \>y decimals, tin 780-5 . 5 :: 7*805. 

 7-805 



20 



0-500 

 18 



; 



Therefore 39 Os. 6d. is the required Interest 



EXAMPLE 2. Find the interest on XI 70 17s. 3Jd. for 7 yean 

 and 9 months at 8 pur cent 



The interest for one year is 8 ( -J^' '''' ) 



And since 7 years 9 months =7! years, the answer is 

 7} x 8 x (176 17s. 3Jd.) x 100. 



The operation may be performed thus : 



176 17s. 3Jd. 

 8 



100 ) 1414 188. 4d. 



14-14 



20 



2-98 

 12 



11-80 



4 



3-20 



Hence the interest for one year is 14 2s. lljd. '2 farthings, and 

 for 7! years the interest is this sum multiplied by 7J. 



Another convenient method of working such a question would 

 bo to reduce the principal to the decimal of a pound, by the 

 rules given in Lesson XXXI., Art. 10 (Vol. II., page 270). 



Now, 3Jd. = 14 / .= -014 



17s. -85 



17s. 3Jd. = -864 to 3 places. 



Therefore, for one year interest = vJ 5 176-8C4 pounds 

 = 8 x 1-76864 

 = 14-14912 

 20 



3-1552 



14 2s. llja. is the interest for one year, true to the nearest farthing:; 

 and to find the interest for 7 years 9 months, this result must be 

 multiplied by 71, or 14-14912 by 775. 



6. Owen the simple interest upon a sum of money at a given 

 rate per cent., to find the time during which the interest has been 

 running. 



We have evidently to find the interest on the principal for 

 one year ; then the number of years required will bo the number 

 of times the given interest contains the interest for one year. 



7. Given tli& AMOUNT of a sum of money at simple interest for 

 a, given time at a given rate per cent., to find what principal 

 has produced this amount. 



EXAMPLE. Suppose it be required to find what sum at 4J per 

 cent, has produced an amount, 138 14s. 4d., in 2 yean. 

 In two years .100 would amount to .109. 

 Hence wo have the proportion, 



As 109 : 100 : : 138 14s. 4d. : required principal ; 

 which, when worked out, gives as the result 

 127 5s. 



Hence we get the following 



Rule for determining what principal Kas produced a given 

 amount in a given time, at a given rate per cent. 



Multiply the given amount by 100, and divide by the number 

 obtained by the addition of .100 to the interest on .100 for 

 the given time. 



8. // a given principal prodtux a yfcxn imtmrttt JM fit** ttmt, 

 to find the rate per cent. 



Dividing the whole interest by the number of years fires tu 

 the interest on the principal for one year. 



We oan then, by the Bole of Three, find the interest 

 .100 for one year, i.e., the rat* per cent. 



EXAMPLE. The interest on 4274 for 5 yean being 447 

 find the rate per cent 



274. i.e., 960 x 274 farthings, produce 47 IN.. <-.. 4MM 



farthings in five years, and therefore "|** farthing. to oa* year. 

 Hence, by Bole of Three, 



As 960 x 274 < "|M 1 1 100 i nte per cent. 



Therefor, the rat. pr ot 



f x 3} per cent. Answer. 



EXERCISE 54. EXAMPLES IN SIMPLE hrranr. 

 Find the interest of tie following sums : 



per cent, for one year. 



s. d. 



1. 525 at 4 

 2.- 874 16 3 at 5 



3. 1539 12 6 at5A 



4. 2288 16 9 at cj 



5. 1286 14 7 at 71 



6. 7671 19 5} at 4* 



7. 476 16 at6 for 3 yean 



8. 781 16 10 at 4 for 5 2 



9. 971 18 4 at 5 for 8 6 



10. 1792 12 6 at 61 ,. for 5 10 

 11.358418 8 at3i for 10 9 

 12. 7365 4 10} at 7\ for 12 4 



13. The interest on 781 16s. lOd. at 4 per cent, is 75 lls. 6|<L i 

 find how long the interest has been running. 



14. The interest on 971 18s. 44. at 5 per cent to 413 1*. 3!<L| 

 find how long the interest has been running. 



15. The interest on 841 17s. 9d. at 4J per cent is 113 6s. 0|<L| 

 find how long the interest has been running. 



16. What principal will amount to 308 7s. in 2) years at 4) per cent P 



17. What principal will amount to 132 3s. in 2 years at 4 per cent f 



18. What principal will amount to 247 10s. in 2 years at 5 per ceat.F 



19. In what time will 537 16s. 8d. amount to 591 13. 4d. at 

 2} per cent. ? 



20. If 575 in 3 years amounts to 600, what is the rate per cent? 



21. In how long will 2500 double itself at 4 per cent simple Uitstsetf 



22. If 293 7s. 6d. produces in 21 yean an interest of OB 10s.. what 

 is the rate per cent. ? 



23. If 2475 8s. 4d. in 3 months produces an interest of 34 15s. Id, 

 what is the rate per cent. ? 



KEY TO EXERCISE 53, LESSON "iv (Vol. II.. page 36*). 



1. 15. 



2. 13-055. 



3. -9683. 



4. Wlttfl, or 9-5642, 



etc. 



5. 21600. 



6. 18518. 



7. 8-21. 



8. 5-14. 



9. 10 per cent 



10. 3-84 oi. 



11. 58J| per cent 



12. 7-04549, etc, 



13. 2s. 



14. | per cent. 



gained. 



& jBlMr to, U, 



111 percent. 



16. 1111 Is. ltd. 



17. 1078 lls. 



19. 231) pei 

 19. 1000. 



LESSONS IN LATIN. XXVI. 



REGULAR VERBS-THE SECOND CONJUGATION. 

 ACTIVE VOICE. 



EXAMPLE. Moneo, 2, 1 remind. 



Chitf Partt : Moneo, monui, moaltom, moatre. 

 Ctarorfmrfte Utfer, lf . 



THE corresponding parts and signs having been given ondet 

 the first conjugation, need not be repeated ; in the Tatin, the 

 student will easily make the alterations required by the difference 

 of conjugation, and the English is unaffected by conjugation. 



MOODS, TKN8M, ETC., of MONEO, I 



Sing. HO 



Mow*. 



HoMt. 

 Pl-i. MonfiMU. 



Monftw. 



Mon*nt. 



*- *- T mt ,. m *** 



> . . ( . 



MODM*. 

 MOBMt. 



Monrfmut. 

 Moarftu. 



MOM. or 

 Moofto. 



MoBlUoraaoastsV- 



