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 3 of 14.

Sasi said:   1 decade ago
Its so simple.

true value =5/3x;
false value=3/5x;

=(3/5)(3/5)(5/3)x
=(9/25)(5/3)x
=(0.36)(5/3)x

error=1-0.36
=0.64
error%=64%

Sona said:   1 decade ago
Error = true value- false value i.e 16/15
true value is 3/5
now question raise that 16/15 is what percent of 3/5
so
x% = 3/5*16/15
x% = 16/25 i.e 0.64
so x = 64%

Gabbar said:   1 decade ago
Good rashmi ji...

Avnish said:   1 decade ago
If i multiply 15 to both 3/5 and 5/3 the ans is
9 and 25 but 9 is not 64 % of 25...
can some one tell me this thing...

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%

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%.

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%.

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%.

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?

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


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