To raise karat:

Multiply the weight of your karat gold on hand by the raising/reducing factor. This will give ou the weight of 24kt gold/allow you must add  to reach the correct karat.

Karat Raising Factors (add gold)

Karat Wanted
Karat on hand
10kt
14kt
18kt
0
.714282
1.39999
3.00000
10 kt

0.4
1.33333
14 kt


.666666
Karat reducing factors (add allow)

Karat Wanted
Karat on hand
10 kt
14 kt
18 kt
24 kt
1.4
0.714383
0.333333
18 kt
0.8
0.285714

14 kt
0.4




Karat
Gold % by weight
Allow % by weight
10 kt
10/24 = 0.4166
14/24 = .5834
14 kt
14/24 = 0.5833
10/24 = 0.4166
18 kt
18/24 = 0.75
6/24 = 0.26

 http://www.whitegold.co.uk/hardnessofgoldalloys.html: The following table gives a range of typical "Vickers" hardness values for fairly common "recipes":-

Alloy Hardness as Cast Maximum Annealed Hardness
9 70 to 105 160 to 170
14 125 to 165 150 to 180
18 85 to 125 170 to 230
22 70 60 to 90
23.75 40 70
Silver 65  
Platinum SC 65  
Platinum HC 135  

Density of different metals:


Specfic Gravity
Melting Point degrees F
Platinum
21.45
3214
24 kt gold
19.32
1948
18 kt gold
15.58
1700
14 kt gold
13.07
1615
Sterling Silver
10.14
1640


Metal Density
Gold 19.3
Silver 10.5
Platinum 21.4
Palladium 12.0
Copper 9.0
9ct 10.9 to 12.7
14ct 12.9 to 14.6
18ct Yellow 15.2 to 15.9
18ct White 14.7 to 16.9
22ct 17.7 to 17.8
Sterling Silver 10.2 to 10.3
950 Platinum 20.1


The following tables show the approximate percentages by weight and by volume of some typical common gold alloys.

Percentages by Weight
Alloy Gold Silver Copper Zinc Nickel Palladium
9 Yellow 37.5 10 45 7.5 - -
9 White 37.8 0 40 10.4 11.8 -
14 Yellow 58.5 4 31.2 6.3 - -
14 White 58.5 0.5 27 7 7 -
18 Yellow 75 16 9 - - -
18 White 75 4 4 - - 17
22 Yellow 91.7 5.5 2.8 - - -


Percentages by Volume
Alloy Gold Silver Copper Zinc Nickel Palladium
9 Yellow 22 11 56 12 - -
9 White 21 0 48 16 14 -
14 Yellow 39 5 45 11 - -
14 White 39 1 38 12 10 -
18 Yellow 61 24 16 - - -
18 White 63 6 7 - - 23
22 Yellow 84 5 10 - - -



Troy system of weights

1 troy ounce
31.1025 grams
1 pennyweight
1.555 grams
20 penny weight
1 troy ounce
5 carats
1 gram