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.

Surya said:   5 years ago
Take example 150.
150*3/5 = 90.
150*5/3 = 250.
90/250*100 = 36.
100-36 = 64%.

Srikanth said:   5 years ago
Thank you @Pradip.

Alpesh said:   5 years ago
15 * 3/5 = 9,
5/3 * 15 = 25,
25 - 9 = 16,
16/25 * 100 = 64%.

Anjali said:   5 years ago
How 5/3 - 3/5 be 16/5???? it is 16/15.
Now,the answer should be 16/15 * 3/5 *100 = 34%.

Siva said:   5 years ago
Let take the number be 30.

30*(5/3) = 50.
30*(3/5) = 18.

The difference between both which is the error value is 32.
To find error percentage;
(32/50) * 100 = 64%.

Umesh chandra said:   5 years ago
How it will be? could you please explain?

Gayathri S said:   5 years ago
5/3 - 3/5 =?
Let's multiply 3*5 =15 which is the LCM
Now multiply 15 with 5/3 and 3/5 :
(15* 5/3) - (15* 3/5) = (25 - 9) /15
*= 16/15.

Error % = (16/15 * 3/5 * 100)%
= 64%.

Prabesh Satyal said:   5 years ago
Good @Alpesh.

Before determining no 15 for a multiple of ratios one has to do LCM of the denominators.

SATHISHKUMAR R said:   4 years ago
Formula:

%of error = Question/comparison value * 100.

Here the question is finding an error.
Comparison is the true value.

3/5 x-5/3 x = 16/15 (LCM)/x means unknown value.

16/15 /(5/3) *100 = 64%.

Chandu said:   4 years ago
5/3 - 3/5 = (5(5)-3(3))/15 = 16/15.
(16/15)/(3/5) x 100 = 64%.
(1)


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