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Q.

A number is mistakenly divided by 5 instead of being multiplied by 5 . Find the percentage change in the result due to this mistake.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept- When comparing two numbers, you should always calculate the difference between the two, then divide the result by the original number and multiply by 100.
Percentage change Question ImageTherefore, the actual number would be Question ImageBut by mistake, the number was divided by 5
Therefore, the number would be Question ImageNow, take the difference between the Actual number and the mistaken number.
Question ImageQuestion ImageQuestion ImageSubstitute the values of difference and actual number in the formula-
Percentage change Question ImagePercentage change Question ImageSimplify the above equation-
(taking " Question Image " common from the numerator and denominator")
Percentage change Question ImagePercentage Change
Question ImageQuestion ImageTherefore, the required solution is -
The percentage change in the result due to this mistake is Question ImageHence, from the given multiple choices, option 1 is the correct answer.
 
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