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 11 of 14.

Sid toons said:   1 decade ago
Let the number be 300. Then 300* (3/5) = 180. And 300* (5/3) =500.

500-180 = 320 Now for checking percentage error,

320/500 * 100 = 64%.

Kondareddy said:   1 decade ago
So simple friends,
First find error.

error = correct value- wrong value;

error % is = (error/correct value)*100;

Sunil said:   1 decade ago
Why we finally multiplying with 3/5x?

Lorance Mathew said:   1 decade ago
There is a rule.

(Numerator of 1st Fraction X Denominator of 2nd Fraction - Numerator of 2nd Fraction X Denominator of 1st Fraction)/(Denominator of 1st Fraction X Denominator of 2nd Fraction).

= (5 X 5 - 3 X 3)/(5 X 3) = (25 - 9)/15 .

= 16/15.

Chris IT said:   1 decade ago
Take L.C.M for the two numbers and subtract them.

Swetha said:   1 decade ago
Do anyone please tell me how 16/15 came in the simplification of (5/3) - (3/5).

(5/3) - (3/5) = 16/5 how?

Vijayakumar said:   1 decade ago
Error% = (true value-false value)*100/true value.

% of error = ((5/3)-(3/5))*100/(5/3).
= (16/15)*100*(3/5).
= 64%.

Gowtham said:   1 decade ago
30 is the common multiplying factor for the the both 5 and 3.

Then,

30*3/5=18,
30*5/3=50,
Make the answer for 100%

Then 18 became 36 and 50 to 100,
Subtract the final output to get an answer 64%.

Yugank Garg said:   1 decade ago
(3X/5) *100/ (5x/3) = 36%.

It means 3X/5 is 36% of original 100%.

Therefore percentage error is 64%.

Prasad said:   1 decade ago
Well you took 9 and 25 ok

the difference between 25 and 9 becomes error i.e.. 16

error percentage is error/true value * 100

now 16/25*100 = 64%


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