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 12 of 14.

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...

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

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%

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%

Durai said:   1 decade ago
Thanks durai.

Abhiraj said:   1 decade ago
Thanks sudershan.

Rawal said:   1 decade ago
Thanks Now I got it sudershan.

Sudershan said:   1 decade ago
We have to find error %.
percentage calculate from original value. So to find error percent

1.First v have to find the error.
2.Then percentage for error in original.

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

error% = error/original * 100;
= ((16/15 x) / (5/3 x)) * 100
= 64

So 64%

Chitra said:   1 decade ago
I don't get it. Please any one tell me.

Pradip zala said:   1 decade ago
Suppose the no. is 300

Then error no. is 300*3/5 =180
and the actual answer is 300*5/3= 500
THE difference value is 320

Then ans is 320*100/500 = 64%


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