Aptitude - Percentage - Discussion

Take LCM of the denominator i.e 3 x 5 = 15.
3/5*15 = 9 (this is the number we mistakely multiplied)
(but the number should have been this all along ) 5/3 * 15 = 25.
Difference -> 25 - 9 = 16.
Now, 16/25(the right number)* 100 = 64%.

Let assume the number of 60.
now 3/5 * 60 = 36,
5/3 * 60 = 100.

Then the number is multiplied in to 100%.
36/100*100 = 36,
100-36 = 64.

Let's assume no is 30 it is divisible by both 5 and 3 ,and not get fractions.

No = 30.
3/5 * 30 =18
5/3 * 30 = 50
Error means = (difference/correct value ) * 100
Error = 32/50*100
Ans = 64.

Let a 45 no consider any number.
3/5 * 45 = 27
5/3 * 45 = 75.
Then the number is multiple into 100%.
27/75 * 100 = 36
100 - 36 = 64%.

The formula for ERROR%= ((correct value - incorrect valuer)/ correct value) x 100.

It's very simple: 3/5/5/3 * 100 = 9/25 * 100 = 9*4 = 36.
Total percentage = 100.
100 - 36 = 64%.

Here, I use ratio and proportion. The question states using a number of some value and multiplying by 3/5 and 5/3. what is the difference in percentage?

3/5 = 60%. 5/3 = 166.6%.
The percentage difference is arguably 107%. If you use a predetermined value of 10.
The equations are 3/5 x 10 = .6 and 5/3 x 10 = 1.66. The calculated % is 1.66/.6 = 2.76 or 276%.
This is the true difference in % values no matter what number you multiply them by. 276% x 0.6 = 1.66.

Sol:

Error %= (difference/original value)*100.
= [{(5/3)-(3/5)}/(5/3)]*100.
= 64%.

Let, the number be 60 we can consider any number,
3/5*60 = 36.
5/3*60 = 100.
error = 100 - 36 = 64.
For percentage = error/total * 100.
So, 64/100*100 = 64%.

Step1: 5/3 * 100 = 166.66~167
Step2: 3/5 * 100 = 60
Step3: Difference of 167 and 60 i.e; 107
Step4: Error value = (error/true) * 100,
(107/166) * 100 = 64%.