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.

Lee said:   7 years ago
Question
A student divides the number by 3/4 when he is supposed to multiply the number by 4/3. What is the percentage of error in his answer?

Lee said:   7 years ago
Can anyone help me to understand the solution? please.

Shanmukh Adari said:   7 years ago
Thank you @Srihari.

Ashutosh choudhury said:   7 years ago
X =15 ,

Because this number is divisible by both 3&5
5/3*15=25,
3/5*15=9,
The man should have got answer as 25 but he got 9,
So ,the difference is 25-9 =16,
If 25% of 100 then,
(16/25)*100 =64.

Ankit said:   7 years ago
5x/3-------> 16x/15 (error).
100--------> ?(error),

= 100 * (16x/15)/(5x/3).

Mahesha said:   7 years ago
How after 16x/15 * 3/5x * 100 it came 64%? Explain me. Please.

S.AMIN ULLAH said:   7 years ago
How 16x/15 has been solved?

Please, Anybody can explain me this?

Sandeep said:   7 years ago
We have multiplied a number by 3/5 instead of 5/3.
So, just find the difference between them,
5/3 - 3/5 = 16/15,
Now let's find out the error %,
For that, we have to take "the difference value" & "the multiplied value",
(16/15 * 3/5 * 100) = 64.

Ameer said:   6 years ago
Let's say the number is = 100.
3/5 * 100 = 60 and 5/3 * 100 = 166.66,
Error = 166.66-60 = 106.66.
Error% = error/true value.
=106.66/(5/3),
= 64( for percetage i.e 64%).

Deepak Kumar MR said:   6 years ago
(3/5)/(5/3) = 9/25 so in fractions it is 0.36 minus this value with 1-0.36 = 0.64 which is 64%.


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