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 6 of 14.

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.

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.

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

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

error = correct value- wrong value;

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

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%.

Shiv kumar said:   1 decade ago
Let no. be 100.

100*(3/5) = 60.
100*(5/3) = 166.65.

Error = (true value - false value)/true value.
Error% = error*100.

PRIYANKA said:   1 decade ago
True = 5/3.
False = 3/5.

Then false/true*100 = 3/5/5/3*100 = 36% WHICH IS CORRECT %.
TO FIND ERROR PERCENTAGE 100-36 = 64%.

SUNIL said:   1 decade ago
LET Number = 1.

Correct number = 5/3.
Incorrect number = 3/5.

We know that:

%error = (true value- false value)100/(true value).

%error = (5/3-3/5)100/(5/3).

Solve it and you got 64%.

Tips: When ever you got this type of question always choose 1 as no. It make your calculation easier and simplest.

Thanks.

Manikandan Kuppusamy said:   1 decade ago
Hi, I have one clarification.

Ques: A student multiplied a number by 3 instead of 6. What is the percentage error in the calculation?

As per above step,

We got 6x-3x = 3x, then.

3x*3x*100 = 900%. Is this correct? Please clarify me.


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