5. (1) £3}: £35 :: £90: sum required;

(2) 3 fr.: 3450 fr. :: 84·15 fr.: sum required;

..sum required

3450 × 84.15
3

fr.=96772 fr. 50c.

6. (1) £96: £50111⁄2 :: £3 : income required;

(2) £100 £5011 :: £3: income required;

(2) £45: £100 :: £27: increase per cent.;

8. In the 3 per cents. at 898, £1 gives £

int., or £;

89

715

28600

it appears that the railway shares are the better in

715 x 821

vestment.

9. £100

£5000 :: £943: produce of 1st sale;
.. produce of 1st sale = £(943 × 50) = £4743. 15s.;
£100 £5000 :: £95: produce of 2nd sale;
.. produce of 2nd sale = £(95§ × 50) = £4781, 5s.;
.. produce of sales = £9525;

£100 £10000 :: £96: cost of the stock;
.. cost of the stock £9600;

10. £100

.. he loses £9600 – £9525= £75.

£1000 :: £88: cost of £1000 consols;

.. cost of £1000 consols = £(888 × 10) = £883. 158.;

.. no. of shares = £883÷£83=

3535-101.

35

11. £100: £6000 :: £95: money English stock will realize; money realized = £(95 × 60) = £5700 = (5700 × 25) fr.;

.. 60 fr.: 5700 × 25 fr. :: 100 fr.: quantity of French stock;

gain on every £100 stock, or on every £88 money invested = £923 - £881= £41;

.. profit on £1000 consols = £41 × 10= £42. 10s.

(2) £88; £1000 :: £44: gain on £1000 invested;

.. gain on £1000 invested = £:

17000

177 × 2

£48. Os. 51d. 1279.

Next, his loss on £1000 consols, if he buys at 92 and sells at 881 is £42. 10s., and if he invests £1000 at 92 and sells out

3

13. Income at first=

of £560=£16. 16s.;

100

£106: £96 :: £560: amount of railway stock;

.. alteration in income = £25. 4s. - £16. 16s. =£8. 8s.

14. £3: £1951 :: £921 : sum to be invested;

.. sum to be invested = £⋅

391 × 185
12

=

= £6027. 18s. 4d.

Again, £23: £1951 :: £921 : sum to be invested;

.. Ans. = £6290 – £6027. 18s. 4d.= £262. 1s. 8d.

16. £91: £5460 :: £100: stock purchased;

income = £180;

£100 £2000 :: £93: produce of 1st sale;
.. produce of 1st sale=£(93) × 20) = £1870.
£100 £4000 :: £85: produce of 2nd sale;
.. produce of 2nd sale=£(85 × 40) = £3400;
.. produce of both sales= £1870+£3400= £5270;

III.

£102 : £5270 :: £4 : income from last investment;

income from last investment = £

5270 × 4

102

= £232. 108.;

.. difference in income £232. 10s. – £180.=£52. 10s.

17. Dividend on preference shares=£500,

... £3475 - £500 or £2975 are the profits to be divided among the ordinary shares.

£70000: £100 :: £2975: per centage required;

2975 17

.. per centage required = £ =£ £41.

700

3. £2000 £100 :: £45: rate per cent. required;

4. He sells a cwt. of meat for (5 × 112)d., or £2. 11s. 4d.;

.. gain on a cwt. of meat= £2. 11s. 4d. - £2. 4s. 4d. =78.; .. whole gain=700s. = £35.

6. (1) On every £2. 5s. 10d. there is a gain of (£2. 148. 1d. - £2. 5s. 10d.), or of 8s. 3d.;

.. £2. 5s. 10d. : £100 :: 8s. 3d. : gain per cent,;

99 240

or, £24 £100 :: £ : gain per cent. ;

(2) 4 cwt. 3 qrs. 14 lbs. of sugar at 8d. per lb. realizes £19. 68. 9d.;

4 cwt. 3 qrs. 14 lbs. of sugar at £2. 16s. 8d. a cwt. cost £13. 16s. 3d.;

.. profit=£19. 6s. 9d. - £13. 16s. 3d.

8. The beer cost the brewer 22s. – 5s. 6d., or 16s. 6d. the cask;

9. If they were sold 16 per cent. under their value, if they

cost £100 they were sold for £84;

.. £84: £63 :: £16: how much under their real value they were sold for;