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 2 of 14.

Rohan said:   2 years ago
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%.
(43)

AASHIKA said:   2 years ago
@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.
(82)

Madangopal Laturkar said:   3 years ago
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%.
(49)

Raj said:   3 years ago
How 16/15 came? Please explain.
(9)

M.Lokesh said:   3 years ago
Error comes from true value so;.

Error% = error/true value.
(18)

Tufayel BD said:   3 years ago
Let number is 100.

Actual Multiplication = (100 *5)/3 = 500/3.
Student multiplied = (100 *3)/5 = 300/5.

Error,

= (500/3) - (300/5),
= (2500 - 900)/15,
= 1600/15.
%Error = (1600 *100 *3)/(15*500) = 64%.
(17)

Helal said:   3 years ago
Let, X be the exact value.
And Y be the error value.

Now, the formula for percentage error= (X-Y)/X *100%
{(5/3-3/5)÷5/3}*100%.
= (16/15*3/5)*100%,
= 64%.
(11)

Venkatesh said:   4 years ago
Thank you @Srihari.
(3)

Pooja said:   4 years ago
@Pradip Zala: at last, why we take 100/500. Can you explain?

Guru said:   4 years ago
Lets take the number is 15.

Correct value is 5/3*15 = 25.
The error value is 3/5 * 15 = 9,
The difference is 11,
So 11/25*10 = 64.
(6)


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