Aptitude - Percentage - Discussion

How 16/15 came? Please explain.

Take base number and multiply it;

5 * 3 = 15.

Then,
15 * 3/5 = 9,
15 * 573 = 25,
Difference 25 - 9 = 16.
16/25 * 100 = 64%.

@All

Firstly,
Take a base number and multiply it;
5x3 = 15.

Then,
15 x 3/5 =9,
15 x 5/3 =25,

Difference 25-9 = 16.
16/25 x 100 = 64%.

Thanks.

Just take lcm of 5 and 3 which will be 15.
Now,
3/5 * 15 = 9 and 5/3 * 15 = 25.
Now subtract 25 by 9 25 - 9 = 16.
Now 16/25 * 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%.

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%.

Sol:

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

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

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