RATIO AND PROPORTION.-Ex. IV. Page 23.

RULE OF THREE.-Ex. V. Page 30.

1. (1) 6 yds. 75 yds. :: £1. 10s. : required cost;

.. required cost=

75 × 30
6

8.375s.£18. 158.

(2)

14d. 2ąd.:: 16s. 1d. required amount;

-q.=129 × 11q.=£1. 9s. 6d.

2. (1) 98 sheep: 7 sheep :: £392: cost required;

(2) 1 hr.: 30 sec. :: 36 × 1760 yds.: no. of yds. required;

(2) 4 mi. : 10 mi. :: 1 hr. : no. of hrs. it takes to walk 10 mi.;

... No. of hrs. it takes to walk 10 miles

Now 9 hrs. 30'.+2 hrs. 13'. 20".=11 hrs. 43′. 20"; .. Ans. 16'. 40". before 12 o'clock.

4. 250 lit. 460 lit. :; 80 fr.: cost required;

46 × 80

.. cost required=

fr.=147 fr. 20c.

25

5.

(1) 39 ac. 2 ro. 20 po.: 6 ac. :: £148. 11s. 104d. : rent required;

or, 39 ac.: 6 ac. :: 142650q.: rent required;

(2) 40 min.: 120 min. :: 34 mi. : no. of miles horse can trot;

31×12

.. No. of miles horse can trot =

=10

6.

£2044. 2s. 6d. : £1 :: £51. 2s. 0 d. rate in the £ ;
£2044 £1 :: 12264 d.

rate in the £;

7. (1) £1: 34 guineas :: 10 guineas: no. of guineas A

ought to give;

x 21 s. (10 x 21)s. no. of guineas A ought

(1 × 21). ::

17

or, 20s. :

to give;

or,

8. 6 kilog. 68 décag. : 56 myriag. 1 kilog. 783 gr. :: 1 décal. : no. of décal. required;

or, 6.68 kilog. 561-788 kilog. :: 1 décal.: no. of décal. reqa.

.. No. of décal. required:

or,

£1354. 10s. :: 12s. 6d. : assets;

£1354: 124s. assets in shillings;

.. assets in shillings=123 × 1354.

£846. 11s. 3d.;

his yearly tax is £7. 13s. 1d. x 4 = £30. 12s. 6d.

10. 1000 guineas: £1 :: £30. 12s. 6d. : tax in the £; 1000 × 21s. 20s. :: 7350d. : tax in the £ in pence;

.. tax in the £ in pence

=

20 × 7350
21 × 1000

=7d.

11. (1) 28 : 51 :: £947 : required cost;

(2) 3s. 4 d. 15s. 9d.:: 1134 Nap.: reqd. no. of roubles;

or, 403d. 189 d. :: 1134 :

1134 x 189

.. required no. of roubles:

=5313.

401/

12. 2309-25 ares: 650 ares :: 69277-5fr.: cost of 6 hectares;

650 x 69277.5

.. cost of 6 hectares=

2309.25

fr.=19500 fr.;

=49777 fr. 50c.

.. he must borrow (69277.5-19500) fr. = 49777.5 fr.

14. £3057. 12s.: £1: 2548 guineas: dividend in the £;

or,

16. 19s. 5d. : £723. 58. 5d. :: £1: gross income; 233d.: 173585d. :: £1: gross income;

17.

18.

2700 men 2100 men :: 9 mo. : no. of mo. required;

56 centim.: 64 centim. :: 21 rolls: no. of rolls reqd.;

20. 3×3-1416 ft.: 17 x 1760 x 3ft. :: 1 rev.: no. of rev. req1.;

.. dips are the cheaper.

On every lb. (10-9)d. or 1d. is saved;

.. on 36 lbs. (1 × 36)d. or 54d. or 48. 6d. is saved.

313 boys: 27 boys :: 53 days : no. of days required;