Reciprocals for percentage problems part 2

This is continuation of  blog Trick to remember reciprocal of percentage



Now ,

For base 6 :

1/6=16.66%

2/6= 33.33%

3/6=1/2=50%

4/6=4(16.66)=66.66

5/6=5(16.66)=83.33



here if you have percentage with decimals recurring in 33 or 66 e.g. 16 . 66     or 33. 33    than they are multiples of 1/6.

There is also another way if we have percentages which are nearing multiple of 16  eg 16.66 (16*1=16)   or 33.33(16*2=32) than they are multiple of 1/6.


For base 7:

1/7=14.44%

2/7=1/7(2)=28.88%

3/7=1/7(3)=43.33%

4/7=4*(1/7)=57.76%

All this percentage 14.44, 28.88 , 43.33 are number nearing  multiple of 14 , so if such percentage are found than they are multiple of 1/7.


For base 8:

1/8=12.5% (12*1=12+0.5)

2/8=2*(1/8)=25% (12*2=24+)

3/8= 3(1/8)=37.5% (12*3 =36 +1.5)

They are numbers nearing multiples of 12 , 12.5 => 12, 25%=>24 , so if such percentages are there than there reciprocals are multiple of 1/8


For base 9:

11.11%=> 1/9

For base 11:

9.09% => 1/11

so 9 and 11 are reciprocals of each other


other percentage are obtained from this bases

eg  6% =>  6/100 =>3/50

so in this way use reciprocals in place of percentage and calculations become easy.

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