Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 9)
9.
A student multiplied a number by 3 instead of 5 .
5 3

What is the percentage error in the calculation?

34%
44%
54%
64%
Answer: Option
Explanation:

Let the number be x.

Then, error = 5 x - 3 x = 16 x.
3 5 15

Error% = 16x x 3 x 100 % = 64%.
15 5x

Discussion:
134 comments Page 8 of 14.

Madhu said:   8 years ago
Error%={(true value-false value)/true value}*100.
={(5/3-3/5)/5/3}*100,
={16/25}*100,
=64%.

Srilekha said:   8 years ago
If we get error as a negative number them what we have to do?

Sudhan said:   9 years ago
@Srihari.

Your method is awesome, Thank you.

Sharmila said:   9 years ago
I understand multiplication errors but what if someone substracted a number instead of adding?Can we still calculate %error? If can't why?

Please explain someone.

Ganesh said:   9 years ago
@Sudershan. Thanks for your solution.

MaDX said:   9 years ago
@Raj, We have to find error %.
And like S.P and C.P, the percentage are calculated from the original value.

1.First we have to find the error:

Error = Original value - Wrong value.
= (5/3 x) - (3/5 x).
= 16/15x.

2.Then percentage for error in original.
error% = error/original * 100;
= (16/15 x)/(5/3 x) * 100.
= 64%.

So 64%.

Rakesh said:   9 years ago
Great answer @Srihari.

Raj said:   9 years ago
What is the logic behind the term (16x/15 * 3/5x)?

Ybm said:   9 years ago
The shortcut is (Diff ÷ original number)100.

Jac said:   9 years ago
This session is very helpful. Thanks.


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